Hey Stella,
From what you describe his drinking isn't normal. Whether he is an alcoholic or not that's not the problem. How he treats you is the concern. You're not happy in the relationship, with his behavior and his drinking. You deserve to feel secure and happy in a relationship. As others said, don't look back with this guy. I would suggest looking into co-dependency issues though. Just so you don't date this type of guy again.
Good luck