fix computer errors

I have a Gateway MX3230 With 1.5 Ghz and 256 RAM. It use to run Perfectly Fine up until maybe 2 weeks ago. It Shutdown After something blue pop ed up. Then It restarted and same thing happened Before i could see the desktop. I restored it with a brand new Restore disk, but it Freezes up on certain things then after 3-4 days the blue message saying memory dump happens again. I restored and tried Error reading disk to see if there was something bad with the hard drive. Nothing pop ed up saying anything wrong with it. So then 1 day later i tried to install Service pack 3 in which it failed to install. Then the computer would not reboot after the windows XP loading screen. So i restored again. I have installed XP pro with sp1 and it ran fine but for some reason it would mess up when i tried to install my video acceleration driver from gateway updates. It would say Installshield could not work errorssomethingg somthing. So i restored with Gateway disk sense XP pro was not helping at all. Now when i try to restore it keeps saying it could not find certain files. Which when i try to restore over and over again it says it cant find different files each time. But i found out that i could find the files in system32. So i did that and it did fine the after its all done with 65/65 patches a screen comes up after a programbeginningg with SYS. in which the screen says windows xp hone edition up top in the middle says please wait bottom it says like copyright. So the computer seems to be doing somthing sense the light for when the hard drive is being used flashes, But it stays that way i left it for 8 hours. So i restarted the pc and a popup comes up saying the system is not fully installed. so i click ok and system rebbots and same error comes up. Can anywon help me?