How about going with Mobil1 for all three areas? You can save a little money to boot and I doubt that there are huge differences among Mobil1 and RP/Redline.
dont put Royal Purple in the engine... from what i understand is that it drags less because it sort of breaksdown and become VERY thin... too thin actually... so it doesnt protect parts... just use Castrol Syntec or Mobil1 in the motor... i like castrol better myself.