Leave permanently, no. That would violate the visitation order. To move would require his and the courts consent.
The courts try to be fair for the sake of the children and sometimes it is not always the right decision. Most courts feel that a child is better off spending quality time with both mother and father when they are divorced.
You may arrange visitation through the courts.
The spouse cannot refuse visitation, however the courts can.
see link
see links below
Without knowing any background I can say that if the father have any court orders regarding custody, visitation or child support because then you will need his and the courts consent to leave the country since the court orders can not be broken. That is breaking the law and you can be charged with kidnapping.
No as they have no standing in the courts.
No. The courts are required to attempt to notify the father.
Generally the courts allow for public service. This is used if the respondent can not be located.
Neither parent; custodial or non custodial decides visitation. Visitation is determined through the courts, and a judge decides when visitation will occur.
Depending on the state, yes, but you can file an injunction. see link
I get the feeling they are not married. if there are court orders for custody, visitation and child support she can not do this without the other parents consent and the courts consent. Otherwise she will be breaking the courts orders which is illegal.