I have been on this and different boards for a few years now. I hear your situation a lot. A woman gets pregnant and than the relationship breaks up. The man would be fine Dad as long as he has a relationship with Mom, but once they are no longer together than Dad is a bad parent and he can't be trusted with the child. Just because a person is a bad partner does make him/her a bad parent.
I think you are trying to find reasons to keep your child's Father away as punishment for not being with you. In your other posts, you didn't mention what a "horrible" Parent he was until I brought up it was about him not being with you.
You need to really LOOK and figure out the reason you don't want him in the child's life. He has called to see the child and you hung up on him, as you state in your 1st post because "Anyway I said no that he turned his back on his responsibility 6 mths ago. He said is that the way you see it. Then went on to say he has rights and the courts will enforce those rights and he was hoping not to have to do that. I said goodbye and hung up. That was 3/25. I have not heard from him again."
If you were so worried about what a poor father he was, why didn't you mention that instead of that he wasn't with YOU.
BTW, sometimes it takes time to raise the money for a lawyer to fight for rights. Once this goes to court, and I believe it most likely will end up in court, it will not go well for you.