Yes, as he can still file an injunction to stop it pending a court hearing, which I teach them to do. see link
The same if he is listed on the birth certificate. NONE
A child's biological father can have his name added to a child's birth certificate regardless of whether or not the mother agrees to it. If the biological father voluntarily relinquishes his parental rights and the child is legally adopted by another man, his name can be added to the birth certificate in place of the biological father.
no see links below
Perhaps you could if he relinquishes all rights or if your new husband adopts the child. However, even if you do somehow remove the name from the certificate, the fact is that he is still the biological father. Better to move on in life; fixing this will not make a large difference to the situation in the end.
That will depend on whether paternity has been established. If the mother is not married at, or within 300 day of the birth of the child, there is no legal father unless through the court. In that case, no one's permission is needed, however the father may bring suit himself. Under those circumstances, many courts will see allowing the move is in the best interest of the child. If there already is a court order in place, you need the court's permission, not the father's permission for the move.
Only if you get a court's permission to do so.
no
If the father and mother are not married, the father's name is not on the birth certificate, and there is no custody agreement in place, the mother may take the child out of state. Otherwise, there would be legal consequences.
Only with your father's permission or if you emancipate yourself.
If your father have visitation right or share custody she will need his permission.
With the permission of the court, and/or the father.
You are an adult. You don't need any forms. Make sure you have good ID and a copy of your birth certificate.