Just by walking through the halls, he was able to tell just how well funded this school was. Some halls were enclosed, while others were almost outside given either thin or no windows. The hero felt so out of place walking through the halls wearing his costume. All he had underneath was the suit he made, so taking off the top layer wouldn't really do much. Some of the students walking through the halls stared at him with curiosity, and he did his best to ignore them as he continued his search.

It was strange to him that he was going along with this. He didn't need to be here anymore, he could easily just head into the city and get to work. He only originally came in here to get away from everyone and think clearly. However, when he started thinking, some scary thoughts came to mind. The Rhino wasn't afraid to attack the school to get what he wanted. These kids could be in danger at any time despite the powers they may have. If Goblin really was here, then it might be easier to work out a plan and operate if he's constantly surrounded by super powered people. If Peter is attacked, there's an ample amount of backup. In a way, the contents and populous of the school serve as protection.
He figured homeroom was going to start soon, so he needed to find the office quickly. Problem was that he didn't know the layout of the school. If he kept on his own, he would likely stay lost a lot longer than he should. He looked around at the students and picked one out, approaching her. She was slightly taller than he was, wearing the traditional female school outfit for Japan. She had ginger hair that was tied into a single ponytail, and blue eyes that shined in the light. When he approached her, she jumped having not expected a costumed hero to come her way.
"Goodness!" She stumbled, "You scared me!"

"Sorry," Spider-Man replied, "But do you know where the principles office is? I need to make my way over there."

She took another moment to stare at him, looking his costume up and down. She didn't know why he was dressed up like this, unless he was a Pro hero. He sounded young, so that wasn't likely, "Down this hall, two rights and a left. First door on the right."
"Thank you," He said simply, quickly beginning to walk.

However, he was stopped by her voice.

"Hey! Why do you need the principles office? And why are you dressed like that?"

He stopped and faced her, looking down at his own suit, "Uh …well, I'm studying a semester abroad here. I just happened to come wearing my suit."
She eyed him suspiciously, but seemed to buy it none the less, "Which class are you in?"

Spider-Man put a hand to his chin, "I think they said 1-A?"

Her eyes widened in confusion, "But that class is already full," She stated, "How would you get in? Are they kicking someone out?"

"That's what that Midoriya kid was saying. The teacher said he would explain during homeroom, so I don't know."
She put a finger to her chin, pondering the very idea of 21 students in a single class, "That does seem odd. I figured 20 was the limit for each class. Otherwise they wouldn't have split 40 students into A and B categories. It makes a lot of people think one class is better than the other."
Spider-Man tilted his head, "I don't think a letter can decide what kind of hero you are, right? Just because you're A or B, that doesn't make you any more or less than them."
Her face turned to surprise, smiling a bit at his compliment, "Well …I suppose your right," She holds out her hand, "I'm Itsuka Kendo."
He took her hand to shake it, "Spide-," He suddenly stopped, thinking about how Aizawa knew his real name. He can't exactly go to this school as Spider-Man, since everyone would know him anyway, "…Peter Parker."
"Nice to meet you, Parker," She smiled brighter now, "I hope to see you around."

"You too," He grinned under the mask, and walked away from her.

He wasn't used to just giving out his secret identity like that, but this was a different situation. He suspected this wasn't the world he knew, since the present was so different then what he was aware of. The Avengers would have known if there was a super hero school in Japan, especially if its this public about it. At the same time however, the Infinity Stones were working. The Reality stone changed things to enroll him into UA, so it still has power. That means this can't be another universe, there must be a different explanation. Until he figures it out, all he knows is that his secret identity isn't really much use in this world, so it was best to go along with its rules.

Finally, he reached the principles office, and stared at the door. He had a feeling someone was waiting for him in there, with the papers he doesn't remember signing. Bravely, he opened the door and stepped inside.

"Ah! Hello! I've been expecting you!"

The sight that greeted him was one he did not expect. Rather than your average human, sitting at the principal's desk was something that looked like a combination of a dog, mouse and bear. His overall appearance looked that of a humanoid-type mink, possessing dog-like paws and a mouse-like tail. There was a scar over his right eye, yet he smiled like nothing was wrong. His height must have been no more than 3 or 4 feet, and he was dressed in a small suit.
Spider-Man just stared for a moment as he unconsciously sat down in the nearest seats.

"To start off this meeting," The principal spoke, "My name is Nezu, and I'm aware that I am an animal," he smiled, "I'm a rare case where an animal gained a quirk and evolved as such," His voice was very joyful, as if he didn't have a care in the world, "Now then, lets get started on finishing your registration. There are a few things that were left out of the papers, so we need to finish those up properly. Is that alright?"
He still couldn't get over the principal's appearance. Now he was sure this wasn't his world, there's no way they wouldn't have heard of all this. At least if anything, this meeting can confirm that for him, so he can finally calm down about it. That means he really doesn't have to worry too much about his secret identity, at least not within school walls.
Nezu placed a small set of papers in front of Spider-Man, patting them gently as he pointed to a pen sitting not a few inches from it, "We'll need to fill out housing forms. As it stands right now, you don't have a place of residence here in Japan. I can make some calls to the parents of other students and ask them if anyone would like to take you on. Normally this is done prior, but it seems you may have forgotten. Just sign here and I can start making some phone calls."
He picked up the pen and hovered it over the papers as he started reading them. Or tried to, anyway. The problem was that it was all in Japanese, with very little English subtext. It did seem strange that he can understand what everyone says as English, but the writing is still Japanese. Hopefully he can find a way around all of this.
"Is something the matter?" Nezu asked, a smile still on his face.

"No…well yes," He admitted, "I can understand you fine-er-what I mean is…I can't read Japanese."

Nezus eyes lit up in understanding, "Oh, of course! My apologies. Speaking and reading Japanese are two different skill sets. You must have only picked up one, my apologies."
It stood to reason that Nezu thought he was speaking Japanese, even though to Peter everyone was speaking English. This world and its rules were rather strange.

Nezu points to a spot on the paper, "This here says that you are willing to be placed in the next available household regardless of who I choose for you. You're handing over temporary custody rights to the family in question, and here," he points to another spot, "confirms that you are not an official member of class 1-A."
"What do you mean?" Spider-Man asked.

"Well, the class is already full; Total of 20 students. It wouldn't be fair to kick one out just for a temporary member from abroad. However, there is a loophole that we use. You won't be shown on record as an official member of the class, rather you will be sitting in on it. You'll take the same exams and receive the same homework, but these grades will go toward your school in America, the MCU."
"MCU," he repeated, trying to figure out what the abbreviation would stand for, "I see, I guess that makes sense since its only for one semester."
"Precisely. If you need any further translations, just say so."

He was being straight-forward with how this was going to work. Once he signed it, he would begin going to this school. He figured that, again, he didn't have time for this. But this school would still serve as protection while he operated in the city. Plus, he found an Infinity Stone here. He needs to be sure there aren't other stones here, so being allowed on the school grounds is a must. Really, there are several ways he can convince himself to do this, but he's doing it because he doesn't know what else to do. He's in a foreign world with no idea how to get back. He needs a roof over his head too, otherwise that will make things more complicated. Plus, if he can somehow use the resources in this school to his advantage, then that will benefit him on his task.
Taking a deep breath, he signed in the appropriate spots.

Nezu immediately took the papers away with enthusiasm, shoving them into a folder, "Wonderful!" he exclaimed, "I'll begin the phone calls immediately. In the meantime, school rules state that you must turn your costume over as to prevent the urge to do hero work. It will be returned to you during some of your class times."
It would be a lot harder to work without his costume. However, he only had to turn over the one Nezu could see. Peter still had his other suit underneath, along with his web shooters. Of course,even though he lost the mask during the plane crash, he can easily make a new one, "I um …I don't have any other cloths."

"Don't worry. We can provide to you the required school uniform," He hopped off his chair, walking over to the nearby closet. Opening it, be brought over a silver suitcase and placed it on the desk, "Just swap your costume for the school outfit inside. Bathrooms are down the hall, so you can change in private."

Spider-Man nodded, and lifted the suit case with ease, "I'll be right back then."

As he made his way to the bathroom, he managed to finally calm his thoughts. This was the best course of action given the circumstances. He needed resources, security and a home. The school can provide them if he attends. Plus, it will help maintain a cover for as long as he needs to. It would only be until he finally stops Goblin, depending on if he's here.
In the bathroom, Peter stepped into the largest stall and opened the briefcase. It was your basic school outfit, proper blue pants and a white-collar shirt with a tie. On of that was a grey school jacket to be worn over it He stood up, attempting to take off his costume. The moment he pulled off the back, it was as though eh phased right out of it. The Nano-bots maneuvered around his skin, letting him slip right out without ruining the suit, or even having to open it. Even the mask remained connected firmly to the neck and torso. He was finally able to get a good look at it now that it was off. Tony really put a lot of effort into it, and it was a very nice design. It would be hard to do his work without a proper suit, but he still had his traditional gear.

In his hands, he still held the Infinity Stone. This was a dangerous object, and he couldn't abuse his power. What was he to do with it? He couldn't just pocket it, its an Infinity Stone. There isn't really a place safe enough to keep it. If anything, it needed to be somewhere he could check on it regularly. Placing it with his normal gear when he hides it will be the best option for now, until he can find a better solution.

Folding up the Nano suit, he placed it to the side and removed his normal suit manually.

After placing his suits and web shooters to the side, he dressed in the required school uniform. It fit well, perhaps only a little tight around the neck. The shoes felt comfortable too, and the end almost felt steel toed. Adjusting the edges of the clothing, he then placed the folded Nano-Suit into the briefcase, locking it up tight.
Now he needed to take care of his other suit. He would need access to it, so he can't hand it over to the school. Making his way out of the bathroom, he checked to make sure no one was around. Grabbing the bottom of a set of lockers, he used his super strength to lift it up off the ground. With his other hand, he placed his fabric suit and web shooters underneath, and lowered the lockers back down over it. Hopefully they should remain hidden until he needs them.

Peter didn't even need to reach the principals door before Nezu came out to greet him, taking the briefcase quickly from his hands, "Excellent! Homeroom starts in 5 minutes, Mr. Parker! Class 1-A is down the hall to the right. I hope you enjoy your time here at UA!"

He smiled, nodding to the mink, "Thank you, Principal Nezu."

The warning bell rung in the halls, and Peter began to walk toward the class.

He could travel to all the worlds he wanted, but he can never avoid going to school.

…

On the computer screen showed feed for several different cameras, which monitored parts of the school. One camera in particular was moving, following the young brown-haired boy as he wandered aimlessly to find his new class. The screens were the only light beyond what shined through the hotel room window, which had been broken with glass scattered everywhere. The figure stared curiously at the screen, putting her fingers to it where the young hero walked. It was as if they were pointing for emphasis, to ensure what she saw was real.

"I suppose," she said quietly, "I should keep an eye on you."

She stood up and walked to the broken window, leaning against the wall as she stared out into the sky. Though even as she tried to get away, her eyes darted back to the screens. She smiled, "Stay where I can see you, ok?"