It IS criminal to knowingly and maliciously make a false report against someone. However, the state needs more than a "not guilty" verdict or a dismissal to make such a case.
And you DO have the right to sue anyone for almost anything. However, being ABLE to sue them and WINNING are two different issues. You would still have to show in a civil court - by a preponderance of the evidence - that the defendant intentionally and knowingly made false accusations against you thus causing you harm. In many instances, absent a confession of guilt, the case cannot be made.
Criminally, these types of cases are almost never made. One can be wrong and still not be criminally liable. Being wrong at trial is not criminal, making knowingly false statements can be.
- Carl