You are a Florida resident. You must file an Illinois tax return as a nonresident to report your wages. A nonresident is only taxed on state source income- which is wages, rental income etc.
From IL DOR :
You are an Illinois resident if you were domiciled in Illinois for the entire year. Your domicile is the place where you reside and the place where you intend to return after temporary absences. Temporary absences may include duty in the U.S. Armed Forces, residence in a foreign country, out-of-state residence as a student, or out-of-state residence during the summer or winter. If you are absent from Illinois for one year or more, we will presume you are a nonresident of Illinois.
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