1. Yep, and in a trinary it generates 900 each.
2. In a Finite Resource game, Solar Generators take away planet value. I learned that the hard way
3. Yep. If you have the Psychic facilities in system, and you have a 'Training World' with the Normal facilities, the ships will increase training by 6% per turn, since the facility abilities are different. One is increase training for sector, the other is increase training for system
4. No, the Robotoid Factory already has the abilities of the individual facilities, and only one per planet is allowed. The individual ones are still useful, if you have something like an all-mineral/organic/radioactive producing colony, since they are cheaper (build faster).