I had this problem. The washer would stop at the rinse cycle and I found that the issue was that the extrusion that contacted the lid switch mechanically was broken at the tip. Thus, the switch was not fully depressed. I added material to the actuator and the washer resumed with the lid closed. An easy way to test this is to try and depress the switch with a screwdriver or other long tool. If it starts, then this is likely your problem.