Husband wants divorce. We have a 2 month old child. If I get no child support and he agrees, can I get full custody.

I think I just answered this same question for your mother. When you say "full custody" I think you are referring to terminating his parental rights. That is very difficult to do when there is a father with an obligation to support his child. The courts are hesitant to do this absent a good reason. Good luck.