Search Results: too close or too distant

So my girlfriend and I just broke up earlier this week. I admit I had a drinking problem that caused some rifts in our relationship. I've always had a problem with having one too many drinks, and I become someone different when I drink. She also has an older sister who went to rehab for alcoholism, so it's a personal issue with her that hits close to home. She found out I drank a beer at the Superbowl when I promised I wouldn't. It turned into a whole argument of us blaming the other for all our fights. Like she cheated on me before Christmas with her best friend (she did) or how my drinking has depressed her. Anyways, we called it quits, but she came over the other night to talk and it sounded like we wanted it to work. We said I loved you, kissed, and she even stayed the night (no sex just slept together). When we are in person it's like we are dating again, but apart she acts distant. She gets mad if I call her baby. She doesn't message as much. She states she doesn't want a relationship right now, and I really need to prove myself if I want her back. I also discovered she is talking to her best friend again she cheated on me with. I had her block him after the cheating charade, but she added him back the night we broke up. Should I keep trying to win my ex back. Or should I move on?