the capacitors are connected across the motor windings and are there essentially as a way to shift the phase of the current waveform. note that this is a two-phase power special; you don't need start or run capacitors if you're using 3-phase power (uncommon in North American residential settings, but YMMV worldwide)
when power is disconnected they are not charged at all. it's not like the capacitors you might find in a CRT
So what you are saying is that the capacitors are effectively shorted with the motor coil, and hence they have a drain resistor that has effectively no resistance?
when power is disconnected they are not charged at all. it's not like the capacitors you might find in a CRT