Kenmore washer series 400 won't advance stuck on wash I hear water filling and the lid lock is working

SOURCE: Kenmore 80 Series - water wont fill to full load

remove edge decore trims from left and right side front of control panel
remove phillips screws from bottom corners of contol panel
remove knob from water level selector
raise control panel ~1 inch then flip over backwords on pivots
depress lock tab on right/underside of water level control body where it touches metal mount plate
rotate water level control body 45deg anti clockwise
pull body off
top side of body next to knob shaft is 1/8 hex head bolt
turn clockwise to rais water level
anticlockwise to lower water level
machine can be operated with this part not fitted so can check level. fill, adjust screw, fill will start again, adjust screw, until water level is correct
reinstall in reverse order
Incidentally, the cause is a VERY small wire spring inside the control body that is not really up to the task, and stretches over years.
Its a common occurrence, and I make this repair, on callouts, no parts required, couple times a month you may have to flip the switch to reset to get the water to restart filling

SOURCE: Kenmore 80 series washer. Agitates immediately and does not fill

it sounds like the water valve is bad,the water valve level(sm. med. lg.)controls the water valce-mike

SOURCE: my kenmore 400 washer fills but nothing else

Lid switch is still most likely the problem. Are you able to unplug washer from wall and check the wire connected to the switch.

SOURCE: Kenmore 80 Series- Washer does not fill up with

Check if the volume of water supplied to the washer from the water line through the hoses attached to it is good. If yes, the screen inside the water-inlet valve if it is clean. If clean, the water inlet valve is defective and you need to replace it. The water inlet valve is located inside the washer on the upper back portion. It is where the water supply hoses are attached to.

SOURCE: Kenmore 70 Series Washer Won't advance in the

Bad timer. Try to find a used one if possible, this item is a little expensive.