If you have full custody I would think you could but I am not sure. I thought it was a federal rule, but here if the spouse doesnt pay support as ordered they will be put in jail. May want to check on both. He remarried, it doesnt seem far to stop you. Hope it works out. Are you sure about the military man? Have you lived like that before? Its a different type of life. You are probably better than me but I couldnt handle it. Wish you all the luck.
I don't think he has the right to stop you from moving. However go to http://www.divorceguide.com/usa/divorce-laws/ a professional advice is better than all to avoid future conflicts.