Facing possible termination for falsifying employment records, but Court Martials are not felonies.

So I was suspended for two months w/ pay from a non-union Government job. I had no idea for what. Come to find out it was for falsifying employee documents. The question that was asked was whether I was convicted of a Felony or a Misdemeanor in the last seven years. I answered no. I was given a Court-Martial 10 years ago by the military, for larceny among other things (I sent another member's money to a charity organization in Russia). I was given a BCD. The military does not have felonies or misdemeanors (af jag website), and Illinois I received my FOID card. Illinois itself does not appear to have a statute for conversion of UCMJ crimes. Second issue is that they are telling me I selected that I had an honorable discharge. It appears on the back end of the employment application (only visible by HR), but not the front end (visible to me). I ran some test with other resumes and newly created accounts, they are all showing that this question was not asked. Do I have a claim