Try going into safe mode and see if it still BSOD during shut Down, If is don’t then there is a possibility that its a driver/software issue. I would start with the SM Bus/Graphics card drivers. Try to remove those drivers first and install the original drivers from the manufacture.
If that don’t fix the problem then I would run a RAM test on computer, That could also cause the same issue.
Thank you, Thank you, Thank you! The original drivers from the manufacture helped big time. I was wondering if you were able to offer any classes or help with me getting better at understanding how my computer work. I went to get a few quotes from random stores and it helped big time. I am sure the money for the class is better than a one time fix.