Hello!
Yes, I believe you are correct for Question 1, the further object will have a higher gravitational potential energy. Even though P is half the altitude of Q, It is not half the potential energy. This is due to the ratio being measured from the centre of the Earth, and thus the ratio is not 1:2.
For 2, Yes! I believe this is correct, fewer vibrations, the less the Cooper pairs break up, and temperatures reduce this!
For 3, Since an increase of Voltage increases the electric field (E = V/d) and the force of the electron is dependant on the Electric field (F = Eq) There will be a greater force on this electron. So for the diagram, as the force is greater, the parabolic motion will be smaller.
For 4, my understanding was that radial magnets gave a smoother output signal, as torque is always at a maximum as the angle between the plane of the coils and the magnetic field is constant. This will INCREASE efficiency, not decrease it
For 5, Faraday's law is heavily reliant on a CHANGE in magnetic flux, the faster the change, the more current is induced. As they are moving it very slowly, there is a much lower change in flux, and thus the lightbulb does not light up.
Hope this helped
Goodluck with your studies!