You should file a motion for enforcement, money judgment, willfulness, legal fees, interest and even incarceration if the amount is significant. Not sure what is happening with the extensions and the no show and adjournments. You would need to go over the details with your lawyer or a lawyer.
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Sure you can ask for a trial, but at this point it looks like the Judge is playing "three strikes & you're out." See what happens on the next court date, but also be prepared to proceed to trial if the Judge grants your request. For a full assessment, schedule a consultation with a NYC Child Support lawyer.
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