This kind of thing is not easy to diagnose over the phone (so to speak).
I would suspect the pressure plate (AKA: clutch cover) is the problem. I would also replace the pilot bearing/bushing and the release bearing.
Is the clutch disc/plate from the same supplier and manufacturer as the new parts you just ordered?
Is there virtually zero hours on the clutch disc/plate?
If the answer to either question is no, then get a new matching disc as well.
While it's apart, check the clutch fork, pivots, return spring, etc. Replace anything suspect, and lube it all carefully.