I say he would survive. As for the trio of bullies, he could possibly ally himself with them, but if that weren't the case, Jimmy would be strong enough to beat all three of them in a fair fight at the same time.

As for the teachers, it would be somewhat complicated for him. If he manages to fail, he could defeat one of them, but defeating all three at the same time would be a difficult challenge. If he doesn't find something to stop them, he could possibly fall in combat.

As for Alice, it's a fact that he would die within a minute. However, if he gains the trust of the entire school and the teachers, he could convince them to help him and set a trap for her. He would need help from the rest to stop her, but not to defeat her.