Even if you had a bad or multiple defective diodes,the only way they could cause a problem is if somehow it conducted to common. That would be a half wave short and most likely not trip a breaker,even a magnetic one.
In the string,if one did not conduct,half the chain would be broken and you would get half waved DC. It would cause the motors to run slower but not pull more current,in fact they would pull less. If one was shorted the current would simply conduct to the next diode so you would have 4 on one side and 3 on the other. This would not be much of an issue either.
I guess it is remotely possible one or more had some forward resistance or a breakdown in reverse resistance. This would be very unusual but not impossible. I am assuming these are standard diodes and not some special ones like a Schottky or something.
If the motors pull 5 amps,that would not trip an 8 amp breaker,but the diodes would give off some heat,about 14 watts. That would be abnormal. Either one of the motors is bad or part of the diode string lead is touching the ground.
You can measure the diodes as John describes. Put the string in series to a load like a light bulb to a DC source,then turn it around. It should conduct both ways lighting the bulb and the light should be the same intensity. If fact you can measure the voltage across the bulb each time. I am a bit baffled by your experiences. Barring using a scope this should give you an idea.
Dale H