Wow, this was really good. Hot, funny, and surprisingly wholesome!
I'm a trans guy, and though I of course don't speak for the trans community as a whole, I personally think that you depicted things very well. You covered some of the issues trans people experience, which was really nice to see. The representation generally felt very well thought out and realistic, major props to you.
Also the bit about the magical staircases knowing a student's gender was very sweet. I know that's a concept/headcanon which has been floating around the internet for a while, and I loved seeing it here