well it was your fault for breaking up with him, but if you recently broke up with him and he still likes you then I'm pretty sure you can get him back =] but next time you should think before you are about to do something rash like breaking up with your boyfriend when you don't really want to ;]
If your boyfriend is still helping her out wiht her bills its like they never broke up. You shouldn't let him do that...and if he doesn't stop you should really consider breaking up with him. There is no reason why you should have to deal with that.
It seems this new generation has an urge to be friends with their exes. If you are breaking up with your ex then breaking up means you are no longer a couple and you should move on in your life. This does not mean that you can't be pleasant to each other if you should bump into one another.
First and foremost, break up with him in private; never in public, out of respect to him and others. You should be honest with him and tell him why you are breaking up with him, no matter what the reason is.