1. Enter zeroes since you qualify as a nonresident. NY is your HOR, but you group A exception for having military pay nontaxable and file a Nonresident return, according to NY here. According to NY for nonresidents, you don't need to file. See here.
2. NY not needed, you can delete the form.
3. Yes, you must be a resident of another state since that is required to be exempt in group A for NY.
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