If I was falsely accused of sexual harassment and was fired from my job, do I have a good chance with a civil suit?

If you can prove you were innocent, yes.

See an attorney with details but most probably not.

If you are asking about a WRONGFUL DISCHARGE SUIT, you have no chance. GA, an employer may fire you for this, or for anything, so long as they are not motivated by Race, Age, Sex, National Origin, Religion, Handicap Georgia recognizes the doctrine of employment at will. Employment at will means that in the absence of a written contract of employment for a defined duration, an employer can terminate an employee for good cause, bad cause, a mistaken cause, or no cause at all, so long as it is not an illegal cause.

It depends on many factors. You should contact an attorney and provide all your information and documents to evaluate your situation and any legal option you may have.

Since there is generally no law about wrongful discharge, I would say you'd first have to find a law that applies. Surely, if you were wrongfully fired, you should be able to get unemployment.