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Not unless she has a court order.
Through court actions, but not on her own.
If the mother have visitation right granted by the court the father can not stop her from seeing her child. If he does she can get help from the police and also report him back to the court so they know he broke the court order.
Only in cases of illegitimate births. Well, the mother can take the child but she can't stop the child from seeing the father. the child deserves to see the father in their life. The father can also take the child back and the parents can share time with the child. Or the child can make his/her own decision to live with the mother or father.
unless he has been abusive towards the child you cant stop him from seeing his child. but if mentally unstable maybe with supervision
Yes, the court will terminate child support.
give her a slap in the face
YES. that is called child abuse and neglect. and is just inhuman and cruel.
You can attempt to sue for custody, or visitation, although this may only work if you are married. Your local laws may vary.
Absolutely not!
You have to settle this in court. But to answer your question unless the mother has comitted a crime then no.
It is common behavior for a child to stop referring to their Mother as Mommy when they become aware of their peers around them. Some adults though may still refer to their Mother as Mommy. It depends largely on how the child is raised.