Ordinarily, a trial court will enter "temporary orders" for custody, visitation, and child support, while the divorce is pending.
Mother files motion for custody
Will you have custody or not?
Yes, but child custody can not be finalized.
Yes
Only NC has jurisdiction, nor should the child be taken away from the other parent.
When you get a divorce ,if your spouse has moved in with you ,you can ask them to move out and if you have had a child with your ex-spouse your child lives with you or you can have shared custody of the child but if it is a teenager when you and your previous partner get a divorce you will ask them to choose who they will live with and they can either choose you or your ex-spouse or shared custody
Unless the divorce decree states that they do, no, not unless the person having full custody permits it.
A divorce with the custody of a child involved can get very tricky when one parent lives abroad. It is almost impossible to force the absent parent to pay child support, and if the parent takes the child to some countries it may be impossible for the US parent to get the child back,
Custody refers to legal guardianship. It determines who a child lives with, who can make decisions regarding the child for legal purposes, and under what circumstances they can make those decisions.
You will have to show significant change in order to change the custody agreement in North Carolina. Even if there are significant changes, it is up to the judge to decide the custody of a child.
You will get temporary custody only until your spouse contests it in court. I am assuming that the child currently lives with you.