If he has no spouse, yes.
No
file for child support
I believe it would probably be labelled as custodial interference if both parents have custody of the child. It's usually only kidnapping if someone without custody of the child takes them, though different states and judicial systems will all make their own decisions.
his father
As long as they remain established.
If she abandons the child, yes.
If a father leaves a child he should always pay, that's a horrid thing to do
The father is not involved with the child's upbringing at all, and, in fact, leaves the female as soon as he mates with her and does not even see his child.
If DNA confirms a man is child's father, the father will have a few decisions to make. The father can assume responsibility for the child and work together with the mother for the sake of the child, or the father can sign over his parental right to the mother, and choose to have no further contact with the child.
The court will decide what's best for the child according to the laws of the jurisdiction and the facts of the situation. The courts does not allow a child to make such decisions.
Yes. He would have to petition the court for custody.
calmly