BSOD Win 7 32bit Kernel ap exe

Hi
after wiping my laptop and doing a new install of windows 7 ultimate 32bit and after applying windows updates, I have been having BSOD problems. I've just restored windows to enable me to even post here as often when I went on line using Opera browser and tried to just register on the forums it caused a crash and yet other times it happened seemingly not due to anything.
I had downloaded bluescreenview before and it said krnl.exe was causing the problems. I don't have the dump files now though as I've had to restore.
I've attached dm log collector files saved before the system restore point.
I've also ran chkdsks with no problems showing up.
It all seemed to start after updating windows, yet before I fully wiped and installed windows my laptop (due to malware issues), windows was fully up to date with no problems.
I didn't have a disk with drivers, some I got off dell's website before wiping, others I had to find manually after looking up hardward IDs.
I'm not sure whether or not windows restore has worked i.e. stopped the BSOD. All I do know is my system has quite a few updates not installed because of it. (due to having to restore)
Any help would be greatly appreciated.
P.S. I also tried this debug but it didn't work:
https://support.microsoft.com/en-us/kb/977186