A more important question that is preliminary to the other questions is, Where is your permanent residence? And, did you change your permanent residence when you moved from New York to Georgia?
your permanent residence, or domicile, is your single permanent home. You can only have one domicile at a time. There’s no single fact that determines where your domicile is located; it is a combination of all facts and circumstances, including where you live, where you work, location of significant social relationships, schools for your children, your doctor, church, attorney, car and driver registration, and so on. It is possible to live away from your domicile for a long time, maybe even years, without actually changing your domicile, if you still consider it your home, and intend to return after the temporary assignment is over.
If your domicile was always in Georgia and you were temporary living in New York; or your domicile is still in New York and you have temporarily relocated to Georgia; or your domicile was in New York, and you left that domicile and established a new permanent home in Georgia; that answer will also influence where and how you should properly pay state income tax.
Then, after you tell us where your domicile is located, and whether you changed permanent homes when you moved, you will then need to tell us, where your employer is located, if you are working remotely, and why.
