$8 may not be a big deal. However, it is the principle that matters. I wouldn't give money to any government agencies unless they truly deserve the money.

You may want to ask for the reason and documentation for the $8 that was allegedly owed to the State Department of Revenue. I am not sure if you will get a "unfavorable record" if you just submit the money without clarifying the reasons first, but this action may implicate that you admit to have understated your tax liabilities, which in turns may increase your chance of being audited.