If your only income was you military pay and did not receive any type of income from New York, then you do NOT file a NY state tax return.
Go back to My Info and the left side of the online program screen. Edit your personal information. Make sure you selected your resident state as Washington. And that you did NOT select lived in another state. As active military you do not select the state where you are currently posted.
Also in My Info there is a section for Other State Income. Make sure it shows None.
