Closing does not relieve the seller of his or her obligations stated in the sales contract. Unless it is written somewhere on the contract that the seller will not comply with the inspections, they do need to be performed. The items predicated on the county inspection are subject to negotiation. The seller does not HAVE to fix everything, but must state in writing what they do not intend to take care of. If you do not accept those terms, you have the right to back out of the contract with no penalty. So while the seller is legally obligated to comply even after closing, and you can sue them if they do not, its much easier to get things done prior to closing.