While I read and reread your letter, I came to a few sentences that didn't make much sense to me. You initially said the computer fried itself while turned off. Then you said it now runs hot even with the battery out and the power supply in. If it fried itself, how would it continue to run at all?

My laptop had a problem of shutting down at times. I found it was when I set it on a soft surface. It wasn't able to get air circulation for cooling. You may find that buying one of these $20 cooling stations solve the problem. They have one or two fans on a base you set your laptop on. When plugged into the laptop, it makes the entire thing run cooler.

I hope this helps. I wouldn't send the computer back just yet. If they haven't approved the return they may accept it but then not know what to do with it. They could lose it in the handling and then you wouldn't have a refund or the computer.