Do i have to pay property tax on a building that I lease at the airport

Your lease agreement is the authority concerning your responsibilities as lessee of the commercial property.  The document is designed to specifically set out the owner's expectation and the lessee's (renter's) agreement to be responsible for specific items identified therein.  Unless the county government is your lessor, we suggest that you contact the owner of the property/lessor to discuss your agreed upon responsibilities.