Q. Would I still file for the GA state tax?
A. Yes, probably.
Students, who attend school out of state, are still considered residents of their home state, unless they take concrete steps to change residency.
You say you are "living in FL for school and work". If your primary purpose, of being in FL, is for school, even living off campus, you are still a GA resident. Typically, if your previous GA residence was your parent's residence, then their home is still your residence, while you are temporarily away for school. This is particularly true if you are still their dependent. And is probably true, even if you are not their dependent.
