I don't think the 580EX and 430EX are compatible with the R2 receiver. Flash Havoc's coverage of the X1C triggers
says (bold mine):
The X1-C are separate transmitter and receiver units, with X1-C receivers being compatible with MK II style Canon compatible speedlites like the 580EX II and 600EX-RT etc.
My guess is that the R2 triggers basically use the camera menu communication capability to control remote flashes, and the 430EX and 580EX (and 550EX) pre-date the Digic 4 introduction of the flash control menu in the camera.
Yongnuo's YN-622 triggers, similarly, were only partially communicating with my 430EX and 580EX. I could only get power control with TTL and FEC; not with M ratios.
It's one of the main reasons I ditched my 430EX/580EX for a used 580EXII.