you need to stick some felt on the inner side of the pieces where they are causing noise, its a common thing, you think your PDM plastic is bad, wait till you see GM (chevy, GMC, caddilac) plastic, YUCK, its the stuff cheap wheelcaps are made from.
anyway the foreman is right on the sprays degrading the plastics, You need to use a UV protectant spray once every 3 months at max on panels that are in the torture zone, for others just make a solution of dove soap and scrub the panels clean with a towel. I use a light solution of simple green and protect the stuff with 303.
anyway, buy some felt (makhmal, velvet strips) and use your head how to fix the problems, Sometimes you might need the fabric type carpet underlay pad. Dont go blaming toyota etc for this, You have a corolla, its a low priced sedan so dont expect it to have vault like quality.
btw STP son of a gun is not a good protectant for dash panels