Do I have a wrongful termination case?

In 2015 I was terminated and the reason given was that I was seen on camera closing the cell door behind me when entering a youths cell (juvenile detention center). This is not the truth and I tried to get an explanation or at least a meeting after being phoned and told that I had been suspended and could not return to work until there had been an investigation. The case was not followed up by the authorities nor Dept of Children's services yet I had been terminated. I understand TN to be a state that doesn't have to give an explanation, but can they falsely accuse me?