As you say, Florida does not have an income tax return, but it does have a tax on tangible personal property - typically this affects owners of rental property who file on form 1040.
This is the form being referred to. Unless you have such property, you don't have to file it.
On the W-2s, is there a reference to FL in box 15? If so, please delete it, because I doubt that there are any entries in boxes 16 and 17.
As noted above, however, you do need to file the New Jersey return if you want to get your withholding back. The employer has already send the withholding to the state, and the only way you will get it back is by showing on a New Jersey nonresident return that you don't owe it.
And please ask your employer to stop withholding in New Jersey.
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