In addition to what the other moms said, have you looked into a default divorce? My husband's ex-wife also "wouldn't sign" the divorce papers so his lawyer filed a default divorce. It was finalized 6 months to the day after he filed. She had 1 year after that to contest the financial part of the divorce. (But because she was under the impression that she had to sign in order for the divorce to happen, she never paid attention to anything she got in the mail, so she never contested anything. She was shocked to discover one day that they were legally divorced, and had been for a year!)
But yes, child support is a whole other matter. Get a new lawyer right away. You are entitled to child support plus back support, and if he won't pay, the state will garnish his wages. You'll get your money one way or another.