Hi TRJolly, and a very Happy Christmas to you.
I have taken a look at the work you have done with Ken in the Virus and Spyware removal forum. and also your logs…. it is clear that after formatting and reinstalling not all your drivers were installed correctly…. did you go onto the manufacturer's website and download and install all chipset, video, audio and all other drivers and install them?
The fact that you have formatted your hard drive and reinstalled Windows on a number of occasions,and with the problems you describe continuing, indicates that the issues with your computer probably rest with your machine's hardware rather than its operating system of software. 
As your machine is only a year old it is probably better to return it to the vendor and get them to fix it either under your warranty, service agreement of statutory consumer protection laws operating in your jurisdiction.
If you want to make some final checks before taking it back to the vendor ( but don't delay unduly) then I am setting them out for your consideration.
1 Create a new user account with admin privileges (via control panel and carry out some tests… any improvement?
2 Boot into safe mode with networking (via F8 before windows loads) and test your machine… Note your protections AV etc will not be providing your with your usual security,,, so be careful!… visit only this site www.bbc.co.uk and see how your machine behaves opening documents viweing your photos etc., any improvement?
3 Do not run any scans with AVG during these tests….( the AVG you have installed is the 2012 version (current version is 2015) and its unusual to install an older version especially after so many formats and reinstalls of Windows…and the constant scanning with AVG especially when you had a second anti virus product running resident in memory at the same time, may have damaged critical important files….)
4 Download a live distro of Linux, burn the .iso to a CD or DVD ( you must burn it as an image …a simple copy wont do!) and then boot from it
http://puppylinux.org/main/Overview%20and%20Getting%20Started.htm
Give your system a good workout using Linux ( Linux Puppy is good)… you won't need an anti virus product as Puppy will run happily in RAM and not write anything to your hard drive (unless you ask it to)….
Linux Puppy is different from Windows, so it may take a few minutes to get used to it…(only one click to open stuff…not two!) but its pretty straightforward, and of course its free…. If puppy runs Ok then its pointing towards your Windows or software as the potential problem….. but if it wont run then you are either doing it wrong or its likely a hardware issue.
If you have a spare hard drive on the shelf somewhere then its probably worth replacing the old one and insralling Windows afresh on it and seeing if there is improvement.
let us know how you get on at each of the above stages
Regards
paws