Depends on the state, but unlikely.
By "sign the birth certificate" I assume you mean, signed a voluntary acknowledgment of paternity. That establishes paternity. Paying child support does not establish paternity. But, if you're paying child support and later learn you're not the father, you cannot stop paying under any circumstances in 20 states, and had a two year limit to file in the other 30, even if the mother has married the biological father. Always get a paternity test before signing a birth certificate. see links
Yes, but in some States this must be done fairly soon after the birth certificate was signed.
Once the deal is signed, you have the power.......
It's not that simple, and the answer varies depending on other factors, which you didn't mention, but assuming you're not/weren't married and you signed a 'Voluntary Acknowledgment of Paternity' (which is a legal document, by the way, and is legally binding), if you signed it less that 60 days ago, you can rescind it (in IL I believe you can get the rescission form at the hospital where you got the acknowledgment form). If it's been more than 60 days, you'll have to petition the court to disestablish paternity, which they may or may not allow you to do (again, it depends on other factors). And this is why you don't sign that document without a DNA test first.
No, it is considered a gift. Unfortunately, Paternity Fraud is a crime that does pay. Google it.
Laws vary in different jurisdictions. Generally, an unmarried father who signed an affidavit of paternity has established his paternity and can file a custody case. If you were never married to the other parent of your child, and never signed an affidavit of paternity then you must establish paternity legally (by a DNA test) before you can start a custody case.
Only if he signed an acknowledgment of paternity or his paternity is presumed because the two of you were married when the child was born/conceived.
Yes, but he will have to file a petition for visitation. He may also have to go through paternity testing to verify.
In all U.S. states the biological unwed mother is considered to have sole legal and physical custody of her child. If the biological father wishes to assert his parental rights he must first establish paternity to the child in question and petition the court for visitation privileges or custodial rights. If the mother wishes to pursue child support for the minor child she must show proof of paternity (signed birth certificate, or notarized affidavit for the father). It is the responsibility of the alledged father to prove he is or is not the biological father of the child, regarding custody, visitation and/or obligation of financial support.
I doubt it. That sounds like it infringes upon constitutional rights (not that Bush cares.)
In most states you have three days from the date of signing to revoke the offer.
If the court has established a child support order, violating the order and refusing to pay child support carries penalties up to and including jail time. If the order was established before a paternity test can be taken, you must still pay the child support. If the paternity test reveals that you are not the father, you will be reimbursed for the child support that you paid.