You may possibly be able to pursue a claim for malicious prosecution (among other causes of action). The facts that you have laid out above suggest fabricated charges (evidence of malice) and that you prevailed in the criminal proceeding. This is a good starting point. That said, any time you pursue a case against the government, you are up against difficult odds. Many such claims are barred by sovereign immunity.
Please feel free to give my office a call. I can help you or refer you to someone else who can.
My response to this question is a response to a hypothetical situation based on limited facts. I am not your attorney; you are not my client and we do not have an attorney-client relationship. If you need a lawyer, you should contact one in your area. If you would like to talk with me about your case, you can call my office.