You won't need the multimeter. The main control board is faulty. Everything underneath i.e. drain pump, wash motor, inlet valve are live as soon as power is switched on, Only the heater has no power to it until the control board relay switches it on. The control board switches the neutral side of each circuit on to make that item work.i.e. the neutral side of the drain pump circuit switches on and drain pump will run until the neutral switches off again. The inlet valve opens when the neutral on the control board switches on. If valve is opening as soon as power is supplied then that means the triac switch on the control board has failed in the on position. If you are any good at repairs to pcb then you can repair it by replacing the triac on the board. If not then you will need a new control board. I can help you locate the triac and then you just unsolder the 3 pins and solder in the replacement one.
Lincoln Appliance NZ, April 2014