Your first dump log states memory corruption along with a disk hardware error.
Your second dump indicates that important processes and threads needed to run the OS are being teminated. Several processes and threads are necessary for the operation of the system. When they are terminated for any reason, the system can no longer function.
1. I strongly suggest running a MemTest86+ to see if your memory (RAM) is bad. If it is bad you can have all kinds of issues. This test takes several hours to complete, but it is well worth it. Do you have a floppy on your laptop?
2. You might have a harddrive dying.
* Go with testing your memory first.