What kind of car is that?
08 Ford Escape.
If I were there I could help.
I'm pretty good with puttin screws where they usually go
Actually, none of it really has screws. Car panels use clips you need to pop out. Screws would make the paneling and interior look awful silly!
And it turns out he was just playing his music too loudly all along. 
Actually, related to the resonating problem, my friend's car actually will start vibrating at a certain speed for some reason.
Haha thats exactly the reason. If you look all the way in the back on the second picture you can see my subwoofer system :P
Also, the car shakes while speeding?
Man, that sucks, well if you like the panels in at least.
Its alright, they will all be back in by tomorrow.