I have officially have establish Domicile in Fl but still have a NJ residence which I stay for less than 5 months (on and off) for the year. Am I non or PT NJ resident?

The other caveat is that I neglected to tell my employer about the change in residence and still had NJ tax taken out.  Assuming I need to to complete a NJ tax form, how do I reflect the time I stay in NJ since it is non-contigious