Then I don't know what your problem could be. I don't think PCSX2 fares well with Intel Graphics chipset, as Zerogs has the Newer Nvidia (Geforce FX 5200 and higher) and ATI (Radeon 9xxx and up) Cards in mind, as those are pretty much the norm that people and gamers are using nowadays.
It Just may be an incompatability with Intel Chipsets, So you will probably have to use GSDX9 until it is addressed and fixed by the devs in future releases.
The Bare minimum for using zerogs is a Geforce FX 5200, and for the Radeon Cards I believe the lowest of those that supports Pixel Shading 2.0 is the 9xxx Series something odd cards. Zerogs yields the best results with the newer cards such as the Geforce 6800, 7800 GS, GTX, and 7900 GS, GTX.
As I'm Gathering you are using a Laptop, with an Integrated Intel Graphics Chipset, So there's Not much you can do except wait for the problem to be adressed in future releases of Zerogs, or to play on a Desktop Computer if you have one, with a Geforce FX 5200 or Better Video Card or an ATI 9xxx Video card or better.
If would be ever so nice, if someone that is more Knowledgeable than me in PCSX2, such as a Dev, can verify that what I'm saying is correct So that way we know if thats the problem. If thats not the problem, we can then move on to other troubleshooting techniques