Kenmore Series 80 wont do anything.

try this
http://forum.appliancepartspros.com/washer-repair/345592-kenmore-90-series-washer-wont-agitate-spin.html
Kenmore 90 series washer won agitate or spin Appliance Repair Forum

My bet is on the drive coupler. if you can here the motor run and the machine will drain water then 99.9% it will be the drive coupler.

This coupler is behind the motor and is what conects the motor with the transmission.

The agitator dogs may be broken or the transmission could be bad. Try checking the agitator dogs first. They are an easy and inexpensive fix.

Get a higher quality appliance

The electric motor my have failed or a part called a capacitor could be the problem? The capacitor is part of the starting circuit of the electric motor, if this fails the motor will not start therefore the washing machine won't spin or agitate.

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

You need to replace the Kenmore Washer Lid Switch. I had the same problem so being lazy I would just push down on the washer's lid and it would push the lid switch further down. making the water drain. after a while I just replaced the lid switch.

you need to replace the agitator dogs, very simple. Go to www.shop.washermd.com and download the tutorial, thanks

defective motor coupling,,replace..onthejob

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.