I'm afraid that the amount in box 16 is what's throwing you off. New York is notorious for taxing everything that it can and having that amount in box 16 is going to cause problems. I agree with @ThomasM125 - you need to have the W2 corrected to show the amount in box 16 as zero and then the withholding amount. That will fix the problem.
If you can't get the corrected W2 then you should change the amount in box 16 to zero and print the return (Do not efile it). Attach a copy of the W2 as well as a copy of your federal return as well as a letter stating that you lived in Florida all year and did not earn any NY income from any NY sources and that the W2 was issued in error. Then mail the return to the address TurboTax provides. This means the refund will take a while but at least you will get all of it back.
@alejandro_d
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