Responsibility and blame are two different things. Accepting responsibility for yourself is healthy, but accepting blame for someone else's problems is not.
yes, you did allow him to abuse you, and you did choose to fall in love with him. But that's empowering really; you can choose to do differently now and not be a victim anymore. You can choose to not allow him to hurt you anymore and you can choose to not get into another dysfunctional relationship like this one.
Getting into an abusive relationship with an alkie is your problem, definitely. no one can force you into a relationship you don't want to be in! but it's not your fault. You didn't know any better at the time. A problem is something that can be fixed. Fault means blame, or accepting responsibility for someone else's problem that you can't control.
You are the only one who CAN save you!