Ok,
I would divide the PPAP into 2 distinct parts, that of the part/material and that of the process.
The qualification of the material is obvious and to check that I am sure you know what to do.
In respect of the process:
I would compare the
FMEA and the control plan to see if they were logically connected, risks expressed in the FMEA addressed in the CP. Examine your requirements for the part/material and see if they are addressed in the FMEA and the control plan.
There are different approaches, some look as the process as a document counting excercise and others as more valuable.
I suggest that you discuss in your company how much you want to analyse and if you want and can (a factor of size) cause your supplier to modify his actions if according to your feelings he does not address the issues.