1. You file a NY nonresident return, because you did not actually live in NY in 2019.
2. NY has a strong "telecommuter" law, in that if you work for a NY company but you are out-of-state, you owe tax on that income UNLESS the reason that you are working out of state is for the convenience of the employer (it usually is for the convenience of the employee, though).
3. Since vacation and holidays are factored into your pay, you need to allocate those 9 days to New York. When you enter the New York interview, the early screens will be asking about where you lived and worked. Eventually, you will be asked for your New York income - this is where you enter the prorated amount of your annual income.
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