Wow, you're getting an extremely rare type of error. Both crashes posted are 0x7a stops.
What this means is that the disk (hdd) subsystem is experiencing failures. The two main causes of this are a bad block on the hard drive where the paging file is located and/or a disk controller error - which means your hardware or less likely, its driver.
A few steps to take:
1) Uninstall both Avira and AVG from the machine in safe mode using the tools found here:
AV Uninstallers - Windows 7 Forums
When done, install MSE as a replacement.
2) Update this Marvell Yukon network driver:
Code:
yk62x86 yk62x86.sys Mon Feb 23 09:44:18 2009
Your motherboard manufacturer's website will have a much newer one to install. If you don't know which motherboard you have, use CPU-Z to tell you.
3) Download and install the latest chipset/raid/storage drivers from there as well.
4) Now on to what may be most helpful here. Open an elevated command prompt. Run this command for the partition you have the paging file on. If you never moved it anywhere, it will be on your drive C:. If you have move it, change the letter C to correspond.
5) You can also disable the page file. Reboot. Then enable the page file once again. Reboot. This may write the page file to a new location within the partition, getting it away from the source of error within the hard drive.
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Good luck and please let us know how this turns out. If you experience further crash dumps either before or after the updates, please post them.
You may eventually have to replace the hard drive if issues can not be sorted with the above advice.
I would also make sure the laptop is not overheating and that any fans inside are operating properly. A good cleaning and inspection inside may prove helpful.