I believe the diodes on the coils usually go bad when they are hooked up and fired "backwards". The buzzing you heard may have been a short around the coil going through the diode.
You can test with DMM for dead short 0 ohms. If so clip diode and see if clears. To check for open diode you would have to lift one leg, then do the DMM diode test on it. Might as well replace diodes on the coil, cheap part may not even be worth the time to test since you are going to have to resolder the wires.