Probably not. Your narrative doesn't support "completely mishandled." You pled guilty to it once, and that establishes probable cause. The system isn't perfect. Actors in the system screw up all the time, but that doesn't mean they can be sued.
Don't worry about a "falsified report." Think about defending a coming criminal case and let his criminal defense lawyer handle it. People make both innocent mistakes and false police reports. You think he's being framed; the police may not. The truth maybe in between. Be prepared for the worst.