Problem: A circuit or subcircuit where you need to flip off two breakers to turn of one particular light or one particular half of a duplex receptacle; either one of the breakers turned on keeps it alive.
Short term solution: You should immediately unhook the circuit wire from one of the two breakers in question, label it, and tape it over, and then you can find out where the wires are crossed at your leisure.
After unhooking the wire, you may notice that certain built in and/or plugged in lights controlled by those breakers flicker. Stop using them as you find them (except for a few seconds of testing if you find another) and label the respective light or receptacle half. You may find enough of them to more or less trace the circuit to the place where a loose cross connection is.
The good conscientious technician or serviceperson will carry extra oils and lubricants in case the new pump did not come with oil or the oil was accidentally spilled, so the service call can be completed without an extra visit.