Since the water stops filling when you turn the washer off, your most likely failure is in the water level pressure switch (part W10335056). There is a possibility that you could have a problem with the plastic air tube that runs from the bottom of the washer tub up to the pressure switch in the console. The image below shows a photograph of the pressure switch and has some access information for your washer. I recommend that you UNPLUG the washer and access that pressure switch in the console. With water in the tub, you can disconnect the air hose and blow through that tube to check that air hose for leaks. If the air hose is not leaking, then replacing that water level pressure switch should fix your filling problem. You can order that water level pressure switch from the Sears PartsDirect.com website. I provided a direct link for that part below this response. The procedure for replacing that water level pressure switch is shown in the second image. If the air hose is leaking, then you will need to replace that component. The part number for the air hose is 353244, The third image shows where that air hose is connected on the bottom of the washer tub. You will need to remove the cabinet to access that area (with the washer still UNPLUGGED). These tips may help you fix this washer problem yourself. If you need more assistance, let us know. If you prefer to have a service technician repair this failure, you can schedule service by clicking on the Schedule Repair link that is just below your question text. That pressure switch costs around $50. The air hose costs around $12. If you can replace one of those components yourself and fix this washer, then it is probably worth it to complete that type of repair. The labor for a technician to complete one of those repairs would be around $140. In that situation, I recommend that you consider replacing the washer instead of repairing it. You can view current washer models on the Sears.com website.