If he is pushed onto repair spaces etc, does he repair and earn option cards at the end of the 5 register phases if he is on an option space?
The rules state:
The robot doesn’t receive or execute Program cards and doesn’t move while powered down, but board elements still affect it. For example, a robot that powers down on a conveyor belt will still be moved by that belt even though it’s not moving on its own. Other robots can push a powered-down robot, and the robot can still be damaged (such as by laser fire), Because of that, a robot that’s powered down may receive new Damage tokens during the turn.
The fact that phase 4, the Complete Registers phase, lists "Board Elements Move" as subpart C and yet files flags and repairs sites under subpart E suggests to me that these are not technically "Board Elements". Coupled with the natural telling of the story of robo-rally, that one would expect a lump of metal to be subject to attacks and conveyor belts but not be able to 'pickup' items or make use of a repair site to repair itself (this, versus the idea that a factory arm is doing the repair 100% for it), I lean toward the reading that the robot cannot earn cards or repair while powered down.