You have a right to remain silent. If they want to interview you, you have an absolute right to refuse to answer questions.
Though, frankly, since you are not subject to the UCJM, it may not be the best idea to invoke that right.
If you were active duty, I would urge you to invoke that right (to protect yourself in a criminal prosecution...it is never good to give a statement if you are an accused in a criminal investigation)
But since you are not active duty, the worst that can happen is you loose your job. With lower stakes, may well be a godo idea to give your side to the story.
As for "rights", again, your rights are to refuse to give a statement. There are not any other rights that flow to you from this unless or until they attempt to take disciplinary action
Please let me know if you have more questions. I am happy to help if I can. Otherwise, please rate the answer so I may get credit for my work.