He has the same rights that you do. If you want to limit those rights, you must go to court and ask for them to be limited. Also, you should ask for child support to be paid. With a court order to pay child support, if he does not pay, then he can be held in contempt. However, understand, that unless he does not want them or you can show a danger to the children, he may be entitled to 50% custody. But nothing will be done until you go to court.
Answered on Dec 17th, 2012 at 5:49 PM