Squeaky Gen 3 plastic interior

I'm tall and my knee will sometimes rest on silver, semi-gloss plastic arm rest "extensions" on the door panel, the part that kinda wraps around the lock and window control switches. They squeak like a mofo! I feel like I can push my knee against it and feel it move or flex, but the piece itself does not seem loose.

Is this squeakiness endemic to the somewhat chintzy interior trim (mine is a 5, too) or is there something to be tightened/repaired? Prior owner had some minor accidents so I wonder if one or both front doors were disassembled and shoddily rebuilt or something.

Thanks for any tips that will reduce my experimental MacGyvering. Happy New Year-ish.

EDIT: Also, when I listen to somewhat bassy music, same area seems to rattle a bit. If I press on the whole assembly, the noise stops (meaning it's not a blown woofer in the door).

 

Thank you. For me, the real bother is just that trim. Really intrusive - I'm sensitive to sounds and the car already sounds like a cartoon spaceship with the braking, which I sorta like, but the door sounding like a dozen inflated balloons rubbing against a dozen takeout Thai food containers is driving me nuts! I was thinking of some rubber shims but maybe there's nothing to be done. FWIW I noticed this in the summer/hot weather too, so softening/expanding didn't seem to help much in my case.