I think the Late 2008 had the GeForce GPU that was part of the recall, but I forget off the top of my head now. Usually I just run the GPT diagnostic and it will either run or say no qualifying hardware found. But yours shows a GeForce module loaded, so it's not one of the ATI models, which may well work in your favor.
First thing to do is to take it to the nearest AASP or Apple store, tell them to run GPT on it. If they don't know what that is, tell them to look up the details of the nVidia extended repair program for models around the time of yours, and test yours accordingly. If it fails the test, you get a free MLB replacement, so do not let them charge you for it. Apple pays out labor for this repair, even if your unit is OOW.
If it passes, then I'd guess the repairs are going to be such that you're going to be wanting to look for a new laptop, but it might not be a bad idea to get someone to run some diagnostics, see what they find. It could be something relatively inexpensive like a failing HDD, but it could also be a bum MLB which would likely put you into new laptop territory price wise. There's also even the possibility that it's just a software issue. So, if you have an external HDD and want to install a copy of the OS on there, run that for a day or two, to see if the problem persists, it would be a good idea. In large part because even if you took your laptop in today, the earliest a replacement part would SHIP would be Monday, so it'd be Tuesday or Wednesday before it actually arrived at the repair place, then depending on how busy they are, anywhere from a few hours to another day or two to get the part in and the unit back to you. So you may as well try the fresh OS install over the weekend if you're able.
Hi , I hope someone can advice me.
Mac late 2008 intel MacBook has started to crash for no apparent reason. i get the following error report:

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic