Yes.
No, minors do not have the right to choose where to live.
No.
Yes if you take it to court you can have the judge decree that she has to stay in a specific state.Added: You have the right to TRY to convince the judge that she should be ordered not to move.
No the father has no paternal rights until the baby is born.
The parent would get support from the children's father--only while the children are in her custody as minors.
the best defense is to have some physical documentation stating that you are indeed the father. once you have this get a lawyer to argue before a judge that this move would not be in the best interest of the child and due to physical constraints you would not be able to be a stable presence in the child's life which you strongly desire. this is after you are proven to be the father and have a custody agreement.
You/your child's moving out of country would not, in itself, affect the father's support obligation. But hopefully he try to put a stop to it.
uniform transfers to minors act plus what to do when child reaches 21?
If you have sole custody no. However, can you still provide for the child? School etc? If she wants to prevent it then let her go to court.
I know of no legal bar to you moving in with the child's father. For the child's sake and yours, however, I urge you two to get married, or at least establish legal paternity.
gravity
The child's moving out of the country would not, in itself, relieve the absent parent of his support obligation.