You did NOT cheat. Lets make that clear from the outset. LOL He said he broke up with you, and that was that! So you did nothing wrong.

As for staying with him, are you sure you want to? Don't stay out of pity. That's not a relationship. And you can stop him from hurting himself either. I seriously doubt he's going to do that. He's just trying to "guilt" you into staying. Don't stay because of that. If you want to date others, then do so. You're too young to be tied down to one guy anyway. Why waste your youth on one person? You're supposed to be having fun, not playing like you're married! Go out with others. Enjoy yourself. Don't tie yourself down.

I wish you the very best. Take care, okay? Hugs, Lee