Welcome to the forums!
Unfortunately, it sounds like you may be having some hardware-related problems and some ideas are below to check into it more.
1. Connect an external monitor if possible to check if there is some hardware problem related to just the notebook screen, and if there is, try to move the screen in different positions to see if this makes any difference.
2. If the unit is running Win7, tap 'F2' to get in to the bios to test the notebook screen outside of Windows and eliminate any software issues.
If you still have time to return or exchange the unit, keep an eye on the deadline if you decide to go this route.
Actually, if everything works in Safe Mode, it's pretty much the same thing as checking in the bios, but just wanted to make sure the screen didn't go black while you were in the bios which would point to a hardware problem.
Honestly, I'm not that great at troubleshooting software since we often just ask people to back-up and recover if possible, so you may want to get more opinions if this isn't your first choice, but feel free to discuss.
I also have a Win7 G75VW unit available for testing and haven't seen problems like this although I change very little in the software usually unlike most people probably.