Disclaimer, I own neither the Harry Potter series nor any other series mentioned or involved in this. If you believed that I did, then you may be as smart as a Chu-Chu.
Dear Professor McGonnagal,
First off, change the name. I don't know who was drinking what when they came up with that name, but "Hogwarts" really isn't an inviting name.
Second, while I will give credit for your inventiveness, I suggest thinking of something that is less obviously a trap. Seriously, trying to kidnap a prince with an invite to a school that nobody in my realm or Hyrule had heard of? An A for effort, but an all around F due to stupidity.
Third, if you're going to offer something, offer something he doesn't already have. Offering education in magic to a boy who has a top rate mage as a mother and the Wisdom Bearer as a godmother is like offering gravel to a Goron who already has a well aged Rock Sirloin.
So, speaking on behalf of my son and my ever silent husband, take your "Invitation", and shove it,
Queen Midna of Twilight