As of right now I'm not on the birth certificate but after petitioning for paternity and custody/visitation rights would I be able to force a last name change since my son's mother didn't use my last name on his birth certificate? What are my rights in New York State?

How do I change my son's last name to mine

Well I am in a tough situation. I am currently 7 months pregnant. I am not together with the baby's father. I live with my parents, and he hasn't provided anything what so ever for me this whole time that I have been pregnant. He verbally abuses me, he's threatened my life and has put his hands on...