What OS are you running? I think your computer might have the ATi Rage Mobility, no? 8MB isn't really going to cut it in Counter-strike. In fact, I don't think it runs well at all on any system, regardless of processor and RAM. Try running in software mode.
Also some specs would be helpful, I can't seem to find any on your sony. OH...one more thing.
Here's something for ATI Owners:
ATI fix for Half-Life 1.0.0.8
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ATI fix for Half-Life 1.0.0.8
This patch contains the fix for the overflow issue that occurs on ATI video cards after updating to Half-Life 1.1.0.8. This file should ONLY be applied by owners of ATI video cards who are experiencing the overflow issue. >>
What Counter-Strike errors are you getting anyways?