Unexpected: a Rotbtd Hogwarts tale

What would happen if Rapunzel, Hiccup, Merida, And Jack Frost all were Wizards? Would they end up as friends, even despite all their differences? You may know of 'The big four', but I plan to tell the tale a little bit more unexpectedly.

((PS. This story isn't actually PG13, it should just be PG but I haven't figured out how to make it go down to PG on the story info!))