Would Georgia bring me back from Florida for violating a felony probation(entering auto)? Do police officers see this information on their computers?

Yes they do see this information if you are arrested or detained by them. As far as bringning you back to Florida, it's up to Florida to come and get you if they want you that bad BUT you will be held in the Georgia jail until they decide one way or another and that could take weeks (while you luxuriate in their jail). This scenerio will be enacted over and over again each time you are detained by the cops until you decide to contact Florida and take care of the problem legally as warrants never expire until you do.