My older Kenmore washing machine isn't draining

It is either a bad pump or a bad control. Call Sears. Hard for the homeowner to fix. If not in warranty, ask them how much to fix and then decide if the old one is worth the money. If the machine is 10 years old, go for a new one.

Try eserviceinfo.com/index as per your 80 series. There are various downloads there that may help access the water level sensor which is most likely the problem.

Based on the information you provided, you need to replace the wig wag on the unit. No joke, that is what the part is called. Here is a link to the part to order.

Get a higher quality appliance

Screws holding the lid switch was broken. Had to replace lid switch.

Check the following before replacing the timer.

1. Clogged drain line or water pump
Check to see if there's something stuck inside the pump or the drain hose connected to the pump (pump is usually located at the bottom and towards the back of the washing machine).

2. Water Pump
If the drain line isn't clogged, you may have a problem with the water pump such as a frozen pulley or a broken impeller. If that's the case replace the water pump. Note: if you have a belt driven washer, check the belt(s) for cracks, as this would be a perfect time to replace the belt(s) if needed.

Replace the timer.
This is a neutral drain machine. If there is no natural pause in the timer at the end of the rinse cycle the timer is bad.

unless your washer is over 20 years old, then it wont have a belt. the temperature of the water wont have anything to do with it spinning or not.
need to know if it agitates or drains and just wont spin.
if it agitates but no spin or drain, then you have a bad lid switch.
if it wont agitate or spin, but will drain, then you have a broken drive coupling.

Check to make sure your lid switch is working.