Yes, you need to file a return for any State where you earned income sourced in that state. Some states have minimums, so you might search in your browser for the particular state and "who must file."
Passive gains & losses offset on your federal return without regard to the source of that income. For a particular state, however, the offset would be specific for that state.
If you have never had taxable income for a state in prior years and had only passive losses to carry forward, you may include the total carryover on this year's return. However, if you had a mix of gains & losses over several years, you may need to retroactively file state returns for those years.
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