Greetings. Yes, you have RIGHTS. You should immediately file a custody action asking that the children remain in North Carolina. If you have the children about half of the time, you have a good reason why the children should live here. Not only will you pay more child support if they move to Georgia, but you will also have to pay travel costs.
Finally, note that if you file for child custody, you need to be prepared to have full custody of your children. Best of luck.
Janet L. Fritts
Attorney at Law
4101 Lake Boone Trail, Suite 200
Raleigh, North Carolina 27607
The response posted above is based upon the limited factual information made available and is not intended as a full and complete response to the question. The only reliable manner to obtain complete and adequate legal advice is to consult with an attorney, fully explain your situation, and allow the attorney sufficient opportunity to research the applicable law and facts required to render an accurate opinion. The basic information provided above is intended as a public service but a full discussion with an attorney should be undertaken before taking any action.