Windows 7: Multiple Blue Screens happening whenever, IRQL_NOT_LESS_OR_EQUAL

I have been getting a bunch of BSODs recently. I just today managed to get a program to read .dmp files, and have my two most recent .dmp files for you to view. I had a blue screen from avast's self-protection driver so I removed avast and put on a different antivirus(I used avast's official uninstaller). I still am getting blue screens, but now they are staying the same (IRQL ones). They are mostly linked my ntoskrnl.exe , and one of them has ndis.sys . One of them was from kdcom.dll, and after some research I found out ntoskrnl.exe is linked against kdcom.dll (ntoskrnl.exe - Wikipedia, the free encyclopedia is my reference for that). Any help on what I should do? I attached the two dumps in a zip. Also, I don't think it is a virus because I scanned using avast, Malware Bytes, AVG Free, and Microsoft Security Esentials.

The first BSOD was most likely caused by ntoskrnl.exe and the second by ndis.sys.

Firstly, test your RAM using Memtest86+.
RAM - Test with Memtest86+

Could you also post the specific model of your laptop? You may have to update some of your drivers but without the exact model number, we can't know specifically which ones to update.

I gave my laptop to Best Buy before and they said it is now a hardware issue (this was before this re-install of Windows). I have an HP Pavilion dv4-2145dx. I have updated my graphics drivers but not much else.
EDIT: I personally ran RAM tests using the built in Windows Memory Diagnostic, Memtest 86+, GoldMemory, and the built in HP diagnostic.

Either way, I would recommend updating all drivers. I believe the drivers for your specific model can be found at the below link.
Software & Driver Downloads HP Pavilion dv4-2145dx Entertainment Notebook PC - HP

I'm also curious to know what Best Buy did. Are you still under warranty?

Finally, run Furmark to stress test your graphics card.
Video Card - Stress Test with Furmark

Best Buy did MemTest86+ and other things. They weren't specific, and on the sheet it said they did all "normal tests." Also, that HP site didn't do a great job on the drivers. Their graphics driver is a year more up-to-date than the one on the computer, but their is a newer one (2011 as opposed to 2009). I think I might go hunting for driver updates from their official sources. The only recent driver is one for WLAN, released in 2011. Which drivers should I update?

Minimum to update: chipset, graphics, audio, network (installed in that order)

Is it bad if I didn't install in that order? HP doesn't have a chipset driver update listed, and when I installed Windows on this computer I updated my graphics first. Then, recently (after the blue screens) I updated my WLAN. Also, I just updated my BIOS (Insyde) from F.17 to F.18 .

It is usually best to update the chipset drivers since those are for the motherboard, so it is basically updating from the ground up. If there were no chipset drivers listed, then you probably already have the latest ones for your system and should not worry about it. How is your system currently running? Still getting the blue screens?

As said above, you should update the chipset, audio, video, network and BIOS. It shouldn't matter too much what order you install them in though. Also, however old the drivers are on the link I provided in my previous post, use them. Many laptops need specific drivers from the vendor (in this case HP). Therefore, a lot of other drivers however legitimate they seem, may not actually help you in any way.

The only reason I didn't use the old graphics driver from HP is that the new one from AMD actually improved my performance. In Grand Theft Auto IV (I know this is a very weird way to tell) my graphics used to say 304 MB but now it says something like 315 or 325 MB, and GTA IV runs better visually. About the BSODs, I haven't gotten any since when I posted this. They seemed to just stop randomly. Also, I noticed that right after a blue screen if I don't boot into safe mode and let Windows Error Report fix windows from the crash, and choose to let it do it in normal mode, my computer logins to my account weirdly. Explorer.exe seems to be frozen and I had to end it and start it again manually... But that stopped happening when "Windows Recovered from an unexpected shutdown." Other than that, my computer is running fine.