Just for the heck of it, I would double check what else may be running off the same electrical circuit. Also check the voltage supply and be sure it is adequate (at least 105 volts or better).
As voltage drops, the current drain raises, lights dim, circuit
breakers pop, high current motors are slow to start. One last thing, look for and test a motor start capacitor, I can't remember if the older Maytags of that vintage had start capacitor's or not.
One last thing, remove the drive belt's (pump to) and be sure the transmission and pump turn easy, no binding up and check the brake to be sure it is releasing properly.
Just my two cents