Ref FAA AIM page 1-1-12, CAT IIIa/b/c would be defined by the DH/RVR. Looks like it's a CAT2 (RVR1200, RVR1000 with special auth and use of autoland/HUD to touchdown) and CAT IIIb (RVR less than 700 but not less than 150).
Cant' speak to FO or FP. Isn't that aircraft specific though, what it's limited to for CAT3B ops?
I stand to be corrected though.