Sony PS2 games come is 3 or 4 different formats. Some of the formats require the Disc to spin at near the limits of the spindle drive motor. I have not run the Guitar hero game, so I am not sure which format it is. I know that the Discs with Blue colored media need to run at a very fast speed, and this gives Some PS2 consoles trouble when they have some lint, string, or Animal hair wrapped up in the spindle motor. Yes, it is a common problem. You have to open the PS2 and look under the motor that turns the disc to see if you have an obstruction.
If you are not comfortable with doing this kind of repair, please contact me at Repairtech@Playstationclinic.com
to arrange to get it repaired for a reasonable fee. This is usually less than $35 including return shipping. If we did work out a deal for repairing your PS2, I would ask you to send the Guitar Hero disc for me to try and be sure we go you what you needed. Good luck.