Yeah, that's the pedal assembly. They can break, especially when you have a clutch with high pedal effort. If you look for posts by 2point2 on Honda-Tech, you'll see he has a weld-in solution that will fix this problem permanently. I'm familiar with the R&R process for those damn pedals too, I did it when I converted my car to 5-speed.

To fix the squeak get some lithium grease and apply it liberally to the clutch pedal helper spring.