While the above expert is correct that you must file a NJ tax return, I do believe that you qualify to file as a Non Resident of NJ. Please see the explanation on page 8 of the instructions that the above expert referred to: CLICK HERE
I've highlighted it below for your convenience:
Nonresident — File Form NJ-1040NR
a(Nonresident Return) as a nonresident if:
New Jersey was not your domicile, and you spent 183 days or less here;
New Jersey was not your domicile, you spent more than 183 days here,
but you did not maintain a permanent* home here.
You may also be considered a nonresident for New Jersey income tax
purposes if you were domiciled in New Jersey and you met all three of
the following conditions for the entire year:
♦ You did not maintain a permanent home in New Jersey; and
♦ You did maintain a permanent home outside of New Jersey; and
♦ You did not spend more than 30 days in New Jersey.
Please note that one of the requirements for residency is that you have a permanent home established in NJ that you intend, at some point in the future, to return to. This would be your permanent home. A PO Box with a car registered in NJ would not make you a Resident.
Unless your employer is NJ based and you have NJ withholdings, your filing a 2011 Form NJ-1040NR - State of New Jersey will not result in any tax due, but you will have to file the form to prove to NJ that you do not owe tax to them.
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