In general, parental rights are terminated either preparatory to an adoption, or after a trial in which it is determined that the parent is unfit. In any case, termination of parental rights does not, in itself, terminate child support.
By whom?
Only if the document you sign specifies that your child support obligations are ended with the signing of the document. Do not assume signing over your rights automatically frees you from child support obligations!
This is usually done preparatory to an adoption. Signing away one's rights does not terminate one's child support obligation.
You didn't read what you were signing?
Yes, until/unless the child is adopted.
Not necessarily. The grandmother will have to either contact Child & Family Services and/or the court to be awarded legal custody of the child.
No, but you can't. see links below
What kind of restitution? Money? No, that would be selling your child, which is illegal. There is no restitution for signing over parental rights. And if the reason for wanting to do so is to not have to pay child support, then it won't do you any good. A father is legally responsible for helping to support his child unless he allows the child to be adopted. Or, as in some cases, allows someone else to have legal guardianship of the child. But even then, you may still be ordered to pay child support, depending on the circumstances and the state in which you live.
No. Turning over the guardianship of a child is something that must be done via legal means and requires court action and possibly an investigation by Social Services or whatever it's called in your state.
You file a child in need of care motion with the court.
Termination of parental rights does not, in itself, terminate child support.
Yes - the man signing the birth certificate is the child's legal father unless/until established otherwise in court.