You need consult with an attorney in your area. If you go to my website and send me an email, I can send you the email address of an attorney that is in Muskogee, who I think would likely be ideal for you to consult with. Because your question is fairly fact specific, there is a chance that prosecutors or other interested parties may come across your question online. Be careful not to post anything else online about this situation.
It is not defamation, even if incorrect, if the police said it to you rather than a 3rd party. However, it might be very prudent of you to speak to a criminal defense attorney right away.