when it should be spinning can you hear the motor run ?
and does it drain the water out of the tub?
ok if it does not run the motor ,but it does in agitate ,then you have a faulty timer .
here is a link to the part.
and it say that you checked the door switch .
and no sound when it should agitate or spin. I will still have to stay with a faulty timer.
90 % of the time if the motor was bad it would at least have a hum noise .
I feel you have no voltahe coming from the timer to the motor.