Yes, all of your selections are good and all of the following are correct residency status for each state.
- I would file a Nonresident income income state tax return for New York (File First)
- Write down the income and tax liability for NY so that you can use the 'Credit for taxes paid to another state' for the returns where you are a part year resident and paying tax on this same income in that state. This will apply to any state where you were receiving this unemployment during your residency period. (If there is a tax liability in those states)
- I would file Part Time Resident income state tax return for South Carolina
- I would file Part Time Resident income state tax return for New Jersey
- I would file Part Time Resident income state tax return for New Mexico
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