Without the sun the only source of energy would be starlight. Planets don't _generate_ energy of their own, they only radiate away energy. So without the sun everything will simply freeze to near absolute zero, once it radiates away all heat energy.
Tidal forces on a moon in orbit around a large body generate heat. This doesn't need the sun. Certain orbits will generate more heat and orbits aren't permanent, but technically it is possible post sun to have a source of energy
Right, there's kinetic energy in a system, and potential energy. For example the total energy that can be released from a moon in orbit is it's 1) kinetic energy of motion plus 2) potential energy, available thru the gravitational fields. If something with rotational energy shrinks it's rotational speed necessarily speeds up (energy conservation), and that can cause friction, resulting in heat. Any energy that isn't radiated away gets converted to heat ultimately yes. (this all omits nuclear reactions too!)