Oils and fluid options for 2002 M5

[drfeelgood]

Advice and recommendations wanted. Just got the car.
For engine, BMW 5-30 was evidently recommended but I've read that even the 2002 S62 motor should run the special 10-60, like the 2000 and earlier were backspecced to. Would Mobil 0-40 be a good easily available option?
For transmission, previous owner is running Synchromax and the car shifts nicely.
For rear diff, he put in RP 75-140. Thoughts?
Any special PSF? Would RP work for this?

Any and all advice welcome.

 

[Lead Shoes]

Use m1 0w40 or 15w50 in your m5

 

[OVERKILL]

I use M1 0w40 in mine. The "ring change" engines, of which yours is one, also appear to have significantly lower oil consumption for the most part.

 

[ChiTDI]

The PSF might be Pentosin, and if you want the low temp qualities of that fluid you can't mix. Just a thought.