I get that this isn't meant to be taken too seriously. But don't schools usually have security camera's? I mean, You pick a fight on any campus in American and you can get in trouble. But you hurt someone, Especially an innocent bystander. Then you're bound to get expelled.
Also, I kind of wish this was a Yuri story between the MC and the female antagonist. I kind of wish that girl wasn't the antagonist and was actually a friend of some sort.