Unemployment for Military? Hello, I served 8 yrs in the U.S. Ntavy in the state of Virginia. I got an honorable discharge. Am I eligible for unemployment benefits. Hi, I can’t tell you whether you are eligible or not. I can direct you to the information provided by the USDOL Unemployment Compensation for Ex-servicemembers And some more by by clicking the current year – then coverage – and going to page 14. I think this gives more complete information. Unemployment benefits for ex-service members is decided under the laws of the state that benefits are applied for.