Why did our washer stop running during the rinse cycle and will not turn back on on any setting moved dial around to different cycles and nothing would turn it on,

WASHER WILL NOT RINSE:
If your washer doesn't go through the washer rinse cycle, the most likely cause is the water valve. What happens is the water valve will stop letting cold water into the washer; therefore, once the washer gets to rinse it will either stop or not do anything during the whole rinse cycle.
This is because when you selected your water temperature, you selected warm/cold or hot/cold. The hot water came in and you didn't notice any problems. When it got to rinse, the cold water the cold water won't come in. Therefore, the washer does nothing.
To check the water valve, first cut the water off and remove the hoses off the back of the washer. Then one at a time point the hoses inside the washer tub and turn the water back on. If you don't have good water pressure, turn the water back off and remove the strainer that should be in one end of the hose. Inspect the strainer to see if it is stopped up, clean it and reinstall it. Now repeat this test. If you have good water pressure now, reinstall hose and your problem is fixed.
If you still don't have good water pressure, the problem is in your house plumbing and you need to call a plumber. If you had good water pressure the first time you performed the test, the water valve is bad and needs replacing.
TIMER
If your washer doesn't go through the washer rinse cycle the timer may be the problem. Sometimes the timer gets stuck in the middle of the cycle or won't turn at all. If the washer runs, but the timer doesn't turn, the timer is bad and needs replacing.
Do you have anti-flood hoses leading to the machine. If you do there is probably a loose tube in the back causing a small leak. When the hoses detect that water is still flowing after a certain amount of time due to the leak it shuts down and causes the machine to turn off during the rinse/spin cycle

you will need a new timer

Not always a Timer issue. could be stopping at the cold fill part of the cycle which is the 8 o clock position on the dial. This would be fault with the cold fill vavle.

Sounds like the contacts in the timer has a problem. Unplug washer. Remove the back of the washer and spray WD40 in the timer. Put towels around and under to to collect excess runoff.
Rrotate washer dial 25 times and spray some more wd40. Rotate 25 times again. Do a wash load. If it works put everting back together.

The lid switch is the culprit. Push down on the lid it should start. It needs to be adjusted . the tab on the lid is not activating the switch. Try triming the door bumpers.

door switch bad?

chances are you had a blockage in the pump and it tried to spin with the water still in the drum. check the bottom hose and filter for blockages so it does not occur again.

where is the lint trap located

Do all of your cycles work when you turn them manually? If one cycle does not work when you turn the dial on it then it will be your timer (The dial assembly $100-up) If all your cycles work manually, then it could be your timer motor which is attached to your timer assembly. If you turn the dial pass the wash, on to the rinse, does the dial automaticly move (when finishng the rinse cycle)to the spin cycle? If so then your timer motor is ok. The only wires close to the bottom are the motor, but these should be high enough out of the way.

Check out your outlet filter, probable it is clogged. Clean this out and refit. Most cases when the drain or spin does not work, it is the filter. This is a suggestion.