Besides an appraisal and the termite inspection, you should also have a professional home inspector go through the house and seek out potential problems. Of course, you will have inspected the home, but you are not used to looking at some things that a professional will find. Even if they are not things the seller is expected to repair, at least you will have foreknowledge of any potential problems.
The seller will want this inspection performed quickly, usually within 15 days in Naples, Florida and Collier County, so that you can move forward with the purchase. Once you receive the inspection, you will want to allow yourself sufficient time to review the report and respond accordingly.
If you do not approve the report, you must respond to the seller according to the terms of your contract. Watch all effective dates carefully and do not wait until the last minute.