You can’t press charges for false accusations, but you may be able to sue the person who made the untrue statements in a civil court.
You can’t stop people from filing police reports, even if they are false. It’s up to the police to investigate the complaint and take the appropriate action. If someone lied out of hand, then the police may charge the person with obstructing a police investigation but again, this is the police’s call, not yours. The only option you have is suing someone for defamation of character if the statements made against you were completely untrue but were not expressed as an opinion.
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