You do not pay Georgia tax. It doesn't matter where the employer's headquarters is, what the employer's address is on your paycheck, or what the employer's address is on your W-2. What matters is where you work, where you live, and what's in boxes 15, 16, and 17 on your W-2.
Florida does not have any personal income tax, so you will not pay Florida tax under any circumstances.
New York State probably considers you to still be working in the New York office where you used to work and now telecommute to, so they will expect you to continue paying New York tax. If your employer is continuing to withhold New York tax from your pay, that suggests that they agree with this assumption. But talk to someone in the payroll department to clarify the situation.
