I have lots of questions on this post... thanks in advance for any help!

2001 330Ci - 60K miles
Sport package, UUC Short Shifter, bald Michellin Pilot Sports with Pirelli Nero M+S on the way

1. Just had Inspection II done, and the thermostat was flagged as bad. I've never had anything other than a centered-up temperature guage, but have had occasional SES lights that go away. Previous owner had and removed a cold air intake system, and I am wondering if the thermostat might have been changed, perhaps to a new threshold that triggers the computer? I'm low on cash and am considering changing the thermostat myself... ordered a BMW Fan Clutch / Pulley Holder just in case.

2. Inspection found a control arm bushing that needs changing for not-so-cheap at the dealer. Is this something I could do myself? I'm not a real garage guy, but have done some things like the Short Shifter install and can usually follow good directions well.

3. Back brake pads were replaced at the dealer, and front brakes are getting close (4mm, no light)... I recently started getting some significant vibration/steering wheel shake under braking and am wondering if it is control-arm related, wheel lug tightness related (I've ordered a torque wrench for future snow tire swaps - this most recent summer tire swap I just guestimated 80 ft/lbs), or just the way things go? Is a full brake job in front(pads/rotors) something possible for he who's never tried (don't worry, I won't take any as legally binding advice)? Any suggestions on brake pads/rotors for normal, spirited driving, no track?

Thanks!