A pump motor will have only a capacitor and sometimes a centrifugal switch. A few motors have electronic switches but not much in the way of any electronics.

If the capacitor goes bad, the motor won't start but you should hear a hum.

Sometimes the contacts on the centrifugal switch can get corroded so the they do not make contact even when energized. With the motor breakers off, you can clean the contacts and see if that helps.