Get his name on the birth certificate. If he will not help support his child, go to court to establish paternity and have the judge determine his support obligation, visitation and his responsibility to provide health insurance coverage. If he gets in arrears, get assistance and assign your right to recover from the father to the assistance provider.

This guy has no clue about being a responsible father. It is up to you and you owe it to your child to make sure the father knows there are consequences for being a deadbeat.