Hey There!~
Lately I've been feeling depressed and emotionally numb. I keep telling myself while I'm at school, "I want to go home". But then when I'm home, I automatically tell myself, "I want to go home. Home home." And i feel like my home isn't my home and there's somewhere out there that is.
My friendships are falling apart as I moved school, and my "bestfriend" is now dating my ex who cyberbullies me.
What do i do now?~

Emotionally numbing yourself (if done correctly) is a good way to deal with situations that would otherwise cause stress or emotional harm.
By 'done correctly' I mean that actually learning how to numb the situations instead of repressing them or pretending they don't have that much of an effect.
I believe school is a terrible place, so try your best to find something you enjoy and want to learn about (studying languages, programming, drawing, etc) and do that in your spare time.

I think this will have a double effect of both bringing yourself back to your home and helping you concentrate on things other than cyberbullying. As for the cyberbullying itself, there may be ways to cut communications.

Good luck.
Programming
Hiragana practice sheet (learning Japanese)
Katakana practice sheer (learning Japanese)
Cyberbullying help page