1. Yes you can plug a refrigerator and a washing machine into the same circuit but this is not recommended because you don't want to trip the breaker and lose power to the fridge.
2. The laundry area still needs a 20 amp circuit run non-stop from the panel to a receptacle meant for the washing machine and connected to nothing else outside the laundry area.
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.