Restoring from a 2 month old back up does not put your system in the clear. These things do not build up over night. You need to run Malwarebytes and ADW Cleaner on the restored system and upload log files on what has been removed. You can then see what further needs to be done.
Dear Gerry and others,
I have managed to resolve the issue by myself! Yay!!!!
So, firstly, you was right.
After I rolled back to previous back up, it was fine except one thing - I still have Login delay :(((( , but I managed to install all updates (problem one included).
Suddenly, I realized one thing! The system backup that I was on has something different from the original system state, that is while I was using original system, I have deleted all folders and files in "Installer folder" (C:\Windows\Installer).
After realization of that, I was wondering: "What will happen if I just copy all folders from present system state(the one I rolled back on) to the last one(Original state)?" Good thing is before rollback to earlier backup I have made backup (sorry for tautology).
So, after 30 minutes, now I am using my original system. I copied all folders from earlier backup back to their original place(C:\Windows\Installer), restarted pc, started windows update and waited with my fingers crossed... Whola! KB2972216 and KB2894854 are successfully installed!
Also, I have installed Malwarebytes Anti-Malware and ADW Cleaner. Anti-Malware found nothing and ADW Cleaner Found a little bit. I wiped out almost all of it except Tencent folder (it is where QQ is a Chinese messenger, I need it) and something other folders.
After that I restart my computer again and... Well, it seems that the last problem for me is Login delay.
I will be very appreciated if you can help me resolve it.
Here links for logs of Malwarebytes Anti-Malware and ADW Cleaner:
ADW: Before cleaning and after
https://mega.co.nz/#!WtkCXKgJ!ISlLf0Kst5U\_3vKWWtAL-Lye8\_42GXfOO2n8WnIaTWs
https://mega.co.nz/#!qp80CC7S!zdmzMGVje-L1C6BKPP8LoGfRfiPCCuIqDxnDq9Jx2jE
Anti-Malware:
https://mega.co.nz/#!i98nwJ5K!sBZKvgWZFgzicyYlojHIW4\_2PArahoBM2SR18pMBQ00