Notes:
First of all, there are absolutely no magical elements in this fic. The magic in the world died after the death of the last dragons. No dragons, No white Walkers, No shadow babies and No resurrection. No Giants as well. I know the giants are not magical but I want to create this fic solely with human characters. Except for direwolves, of course.
Direwolves are not magical, just intelligent and obedient. There will be no warging in here.
Jeor Mormont is still alive. Since there wasn't a wight attack. He didn't arrange any massive ranging beyond the wall. He sent only Jon and few others with Qhorin to range beyond the wall.
The story starts after the battle at Castle Black.
Both Stannis and Renly fought each other and both died. Renly died at the hands of his brother and Stannis died after Blackwater.
Shireen is alive. Ser Davos rescued her before the Tyrells attack on Dragonstone. Both of them are now in hiding.
Jon is the son of Ned and Ashara Dayne. Ther weren't married and Jon is a bastard. He was conceived after Lyanna's "abduction" and before Ned's marriage with Catelyn Stark.
Ned traveled to Starfall in secret to learn about Lyanna's whereabouts. Ashara was in Starfall at that time. After hearing the news of his father and brother's murders, he found comfort in Ashara's arms. She was the only woman he truly loved. He promised Ashara that he will return and marry her in Winterfell. He didn't know that he'll be marrying Catelyn Stark at that time and certainly didn't know that Ashara was with child. Yeah, Jon is his eldest. As for Ned not informing Jon about his mother, it'll be revealed soon. Please don't piss on Ned until then.
Bran and Rickon are alive. They are protected by the Umbers. unlike the show, the Umbers are fiercely loyal to the Starks.
Arya is in Riverlands, still traveling with the Hound.
Sansa is still in King's Landing, married to Tyrion. Their marriage yet to be consummated.
Except for Lady and Greywind, all other Direwolves are alive.
Blackfish is still holding Riverrun. The castle was still siege by the Frey and Lannister forces.
Jaime returned to King's Landing with Brienne but immediately sent to Riverlands on the orders of King Joffrey to end the siege. Brienne is still in King's Landing, acting as Sansa's shield.
Purple wedding yet to happen. I will make it as gory as possible.
Wildlings attacked the wall precisely for the same reason why previous Kings beyond the wall waged war. They live in Long Summer and they know the coming Winter will be long. If they had stayed beyond the wall, they know that the chances for their survival are nill. They took a risk and failed. Remember Jon spent a considerable amount of time with the wildlings. He knows how hard is their life and they won't survive the coming winter. It may come into play in the future.
And the queries regarding Dany will be answered. Remember this is not the Dragon Queen but the Dany from the first book. That doesn't mean she will only be Jon's wife and carry his babies. She will be his partner but don't expect her to wield a sword and march with Jon. I want to show her what she is capable of without her dragons. And yeah Dany and Maester Aemon will meet.