The State files criminal charges, not individuals. You may file an incident report with the police, but it will be up to the detective assigned to the case as to whether criminal charges will be filed. Good luck.
When you say "press charges" are you looking to recover money or some other compensation from those who had you falsely charged? If so, you might want to post this in a different practice area about civil rights or possibly abuse of process, etc.
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You cannot press charges. You may be able to sue someone if they made a false report but it would be very difficult if you are talking about police.
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