I was advised by an attorney to establish Paternity because we were never married.
but you said paternity was already established. The AOP does that.


just because the Father is on the birth certificate, that doesn't mean he has joint custody or guaranteed time with the child.
of course not and I never suggested anything of the sort. It doesn however establish paternity and your standing to sue for custody and visitation.


My question was, is the evidence and documentation that I have good enough cause to convince the courts to change his name. Not how do I pursue a name change.
No. You have not given any real reason why the child's name should be changed other than you want the child to have your name. You can request on that principle. As I said, the judge will decide what the child's name will be in the end.