Yes file a New Jersey nonresident return (Form NJ-1040NJ) to get a refund back on your "New Jersey Exit Tax."
New Jersey says: Nonresidents must complete Part I of the NJ-1040-NR and report any gain from the sale of
New Jersey property as Net Gains or Income From Disposition of Property (if loss, enter 0).
Report any estimated tax payment paid at closing on the Estimated Payment/Credit line. Do
not report the estimated payment as New Jersey Income Tax Withholdings.
Buying and Selling a Home in New Jersey
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