Hi,
The Mark III version no longer has the screw type adjusters to level the clamper arm like the Mark I had. If you're sure that the part you identified in your first post is what is not level, (it appears the bottom of 9121 2854207 clamper arm is making contact with the CD 4) then it's possible that the screw holding the clamper arm on the ride side may be loose. The Mark IIIs have a small plate and a screw on each side to mount the clamper 9116, the plates are 9115, screws are #32.
If you release the sledge and then remove the glass, you can remove the top plate (9114 -see manual) which will then allow you to see if both screws (32) are tight on plates 9115.
If they are ok, it's also possible that the plastic clamper arm is not fully seated in its attachment point. That piece is tricky because the left side of it slides onto a pin while the right side (which has a cutout on the top of the shaft) then snaps upward onto another pin.
At this point (with the top plate removed) you can see if the clamper arm (9121) is fully seated on the right side, and that it is screwed onto 9116 (with screw #37).
It's a good idea to clean the inside of the rails where the sledge travels, dust builds up in there and causes problems too.
The entire process I've described should take 10 minutes.
1. enter testmode
2. release sledge
3. remove mains
4. remove glass
5. move sledge to middle, remove cover plate (see manual)
6. check 2 screws to make sure they are tight
7. if they are both tight, check clamper arm (9121) to make sure it's mounted properly and the screw is in place (#37)
8. replace the cover plate
9. clean the insides of the rail slots for the sledge, I use a soft cloth and windex
10. mount some CDs and manually slide the sledge across all CDs in all slots, both directions.
11. replace glass.
12.connect mains.
13. in testmode, run TM71 and TM73 (see manual).
If you still have scraping then it's very likely you need to replace the rocker arm (9134 2854196 Rocker arm) which is very simple and costs about $14 US, still an available part.
Good luck!