I've heard many horror stories about the HARM that poorly trained Geek Squad techs have caused, not to mention their outrageously high fees for service. Much better to find a trusted computer repair service in your area, if you're able to.
In your case, however, because your computer is new, it's of course under warranty and is also possibly within the initial period of time that you can return it or exchange it. You should not be having this problem with a new system!!!! In any event, you should not have to pay Best Buy/Geek Squad ANYTHING to fix something that is wrong with your new system!!! If you're within the initial 30 days or so, return/exchange your system --- or if not, get them to honor the warranty!