Back to basics, does the TUB SPIN when in the SPIN section of the timer? You can see the transmission spin when the front is off. If that does SPIN and when you held the impeller (FINS) in the pump and turned the shaft & it turned but impeller did NOT, you need a pump. That is the easiest way to check it. The machine reverses to drain & spin & can be seen with the front off & the transmission spinning. I don't pay attention to the rotation of the pump(it will turn same direction as the transmission) In aggitation it the transmission wil be staitonary,spin it reverses & transmission will rotate.