Welcome to SR. Yes, based on what you've posted I'd say your husband has a problem with alcohol.
I agree with what others have already posted. They know what they are talking about. Glad you are here. Do take the time to learn all you can about alcoholism.
The only thing I have to add is that as a mother. It is your responsibility to protect your child. There is no way a child can be raised with in a home with an actively drinking alcoholic and grow up without emotional damage. This is something you really need to think about.