Yes I think he has a problem. No I don't think that is acceptable.
Did you think having a baby was going to make him grow up? Particularly when it wasn't a planned pregnancy?
The job issue is a MASSIVE problem- he isn't providing for you and doing EVERYTHING he can to look after his family. People job hunt while they are employed.
Being a loving and caring partner just most of the time would be a deal breaker for me.