If You Still Haven’t Paid Your Kingsport City Taxes, You Are Adding Costs To Your Delinquent Bill And Running Out Of Time. Each Day That A Bill Isn’t Paid, Additional Penalties Are Added. Once February 26th Passes, Any Unpaid Property Taxes Will Head To Sullivan County Chancery Court. About 400 Delinquent Notices Went Out In January And 350 Second Notices Were Sent Out About A Week Ago.