If mine seems to be getting warm or if I am running it quite a bit.. then I just prop it up with something to get more air flow underneath - keep the fan vent opening clear.

I usually use CD cases under each corner.

I think generators should be OK, esp with the extra power bar for surge suppression.. we ran our well, water heater , big TV & fridge at the same time last year with the generator.

windows error info-
http://support.microsoft.com/kb/307545