GT2 will work because the slim has PS1 compatibility. What it doesn't have is PS2 compatibility. My Fat 60gb just YLOD'd, repaired it but it is condemned to die soon, so I got a slim. I didn't play the PS2 games anymore at all. Only had it for revisiting Metal Gear and now that it's coming in HD so no need for it anymore.
Now, sticking to the topic, I can remember having a hard time with that track, but hey I was 15, I completed GT3 like 99%, good old times when you actually had time. It would be awesome to have it in the game playing it with a proper wheel and testing cars. Just give us any tracks you want PD, I will gladly buy the packs!