That depends on whether the other parent has visitation rights. If so, you cannot remove the child without the other parent's consent or/and court approval.
No, you cannot move a child out of state if you have joint custody.
You cannot legally move a child out of state if you don't have legal custody. You would be kidnapping that child. If you are an unmarried father you must obtain proof of your paternity through the court and then you can petition for custody. Otherwise, you have no parental rights and if you take the child it will be a law enforcement matter.
As long as they have the other parents permission i think.
No, unless a custody order is being violated, it is not kidnapping for the Father to move out of state with his own children.
Not if there is a visitation or custody order. She will need the other parent and the courts permission.
If you are of legal age and there is not court order of custody or visitation then you may move with your child wherever you so choose.
In the absense of a court order, either parent can move anywhere they want. The other parent can then try to obtain a court order giving them sole custody if they don't like it.
No. see link
yes, or suspend your driver's license.
Yes, but the father can still file an injunction to prevent it.
No, you can not, unless the custody order is modified by the court.
A parent with sole custody should be able to move out of the state of New Jersey. This is unless there are explicit rules against it.