Messed up Imac help....?

Unfortunately it looks like you have a rare lemon. I have had iMacs and used iMacs for years and have never had a problem like yours. It's too bad that you live so far from an Apple store. You need to make an appointment (at my local Apple store, if you don't have an appointment you have to wait and wait) and leave your iMac there for them to check completely. You may have to push them.