We are unable to advise if your automobile insurance rates would increase based on a not-at-fault PIP claim being reported. There are many factors that are used to base insurance rates and without knowing your full drivers history we cannot tell you if your insurance company would raise your rates due to making a personal injury protection claim for the injuries you sustained in this car accident.
Your specific car insurance agent would be able to tell you if making a PIP will affect your rates in the future with your current insurance provider since he or she knows about your carrier's rating system plus they can look up your driving record and claims history.
If your rates do rise you can shop around for better Florida car insurance rates here with an auto insurance specialist.