Child support is retroactive to the date of filing. If you didn't file a modification petition at the time that you became unemployed, you can't get a refund retroactively. If your still unemployed, then file a modification petition seeking to reduce your child support obligation.
Child Support paid previously is non refundable. You can sue the recipient directly. The chances of winning are pretty small however.
I am an attorney with over a decade of experience in Matrimonial and Family Law with offices in Brooklyn and Manhattan. I have experience in all five boroughs as well is Nassau and Suffolk County.
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