Yes, but father can challenge.
he should be able to simply take the child.
No, she can only sign over her own rights.
Sure: she can put him in medical foster care.
I'm not familiar with Florida law but I'm sure the mother could keep the child in such a case.
Until paternity is established the birth mother is considered to hold sole custody of a minor child. For a father to have custodial or visitation rights it must be agreed on by the mother of the child or through the prescribed court procedures by means of a lawsuit.
for all fathers...you have rights! is not only the mothers baby but is also your baby.go to an attorney and speak about fathers rights
None until granted them by a court. see links
Basically, you can't do this. You cannot unilaterally relinquish your obligation to provide support for your child.
If the child is being adopted, not otherwise.
If you relinquish your parental rights, you are still not going to get child support payments. The child support is for the child.
That depends on the circumstances of the custody modification. Was it permanent, temporary, was the child adopted, did the parent voluntarily relinquish parental rights or were they terminated by the court? No one here can possibly give you an answer without a lot of detailed information including your legal residence. You should really consult an attorney anyway. He or she would be able to provide an informed and detailed opinion on whether or not you have any rights and if so, what they are.
Custody arrangements by which it is in the best interest of the child without infringement of the mother or fathers rights.