Even if you put the panels on the rotating structure itself (ie. the whole station was rotating) and you didn't put the panels on a dedicated module, it should also be possible to point the axis of rotation towards the sun at all times. Remember, you're in space.
Considering your design this could be done, having two crescent shapes at the ends and panels in the X and Z axis.
Yes, but what are you assuming those rates are? I'm asking for numbers here. I don't think we can meaningfully discuss details beyond proposing ideas without numbers.
For numbers lets use ISS, it's 109m so 2 stations would be enough for gravity, lets say you could make each 100m*100m a living space for 100 people. That would be a space station 1000 times of ISS, we are not including farms and such as we assume optimization.
For power we say each person uses 2350 kWh each year. Now I need to do some math.
2350/ 365 = 6.4(round to 6) a 1m*1m panel produces about assuming 2000 kwh(%200 peak at all times) that is about 3m*3m for every person and 300 000m * 300 000m for only the people on the ship. Comparing against the ISS you will see it generates 120 kwh at peak so about power for 20 people.
Human lives are not cheap. I'm frankly shocked that you would claim that human lives are less valuable than robot lives.
industrially human lives are cheap on a industrial scale only. :(