As Tony mentions the door interlock switch is part of the fill valve
power circuit.
You can test whether it's good or bad with an ohm meter.

To verify valve & timer function you could "jump" the interlock switch
and see if you can get the fill valve to work.

You can also test the fill valve with plug cord with spade connectors
on it.
Remove wiring to valve, attach spade connector on cord to valve, plug
cord in... if the valve is ok, water will flow.

Fill valve solenoid is 120 VAC.

cheers
Bob