It depends. According to the NC Department of Revenue, "Under the Servicemembers Civil Relief Act, a member of the Armed Services who is a legal resident of another state stationed in North Carolina by virtue of military orders is not subject to North Carolina income tax on service pay but other income from employment, a business, or tangible property in North Carolina is subject to North Carolina income tax."
So assuming you are stationed in NC on military orders and your only income was military pay, then you do not have a filing requirement in NC. If for some reason NC taxes were withheld then you should file as non-resident in NC to get those withheld taxes refunded.
Or if you had income from other sources within NC, then you file as non-resident and allocate only the NC source income to NC in the state interview as that is taxable to NC.
WA does not have a state income tax so you do not have a state filing requirement there.
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