I can see a few things wrong here.
First of all, you cheated on him. I realize he forgave you and you got back together, but let me tell you a little something about the after effects of cheating: the person you cheated on may forgive, but they don't ever forget. You've breached his trust. That incident is going to be in the back of his mind forever, and will rear it's ugly head once in awhile. It can, and usually does, ruin a relationship over time.
Secondly, there is nothing productive about chasing after him and confronting him after you've had a fight. You need to give him his space and allow him to cool off. There's a reason why the word 'confrontation' has negative connotations attached to it. You are cornering him, and it puts him in defense mode, and will likely only make him more angry.
From the sounds of things, this isn't a very healthy relationship overall. If he's broken up with you and you've not heard from him since, I would safely say it's over. Don't pursue it.
Live as if you were to die tomorrow. Learn as if you were to live forever. - Mohandas Gandhi