I have two separate error codes. First, was caused by bad driver
ntoskrnl.exe (0x0000001e) and was a System_Service_Exception. This was on the 2/06/11, and I have replaced the RAM in the machine since then, thinking that it might be a RAM error. The second was on 1/28/11, and was a dxgmms.sys (0x0000003b) which would have to be related to direct x. I just installed the newest video driver compatible to my card (8400m GT) yesterday from NVidia since Sony won't provide them, and have not had issues with a blue screen yet. After I installed the new RAM, I still had a system lockup with sound loop while playing a game, but hopefully the video driver might have fixed it.
As to the touchpad, I've installed both sony's and synaptics drivers
for it (sony's wasn't 64bit, but i uninstalled it and put synaptics 64bit driver on it). They either install or do nothing, or say that I do not have compatible hardware (but it is a synaptic touchpad).