need some advice

Hey guys, so I am looking into buying a newer used bmw (2001 530i ~23k miles), and was wondering what to look for in specific when I take the car in for a pre-check to a 3rd party dealer. Here's what I have come up with so far:

alternator status (costed me ~200 to replace last time)
brake rotor/pad wear condition
drive train (smooth transmission)
suspension - how old, rust
ball joint tolerance, flex
cv joint boots, tierods
body rust
engine & other oil leaks around main motor
steering alignment

I am also going to make the bmw dealer give me the service record and print out obd-II info. Any other stuff that I should make the 3rd party dealer check for specifically? Any help will be appreciated.

Thanks

Shawn