Kenmore 80 series mod 110225842400 stopped working during cycle. Tub won't drain and will not agitate.

Hello. I'm a little confused at the description of the problem. You indicated it, "will not agitate during wash cycle or spin during the spin cycle." But later in your description you indicated, "It will however, drain and spin after wash cycle and during the rinse cycle." I'm not sure if you description was an error but it sounds like you will need to replace the coupling which is part number 285753A.

Yikes! Belt? I'm thinking call Kenmore!

What is the complete model number of your unit?

So it will agitate and fill but the motor won't run during drain and spin?
If so, the likely cause is a bad lid switch. The paddle that the probe hits when the lid is down moves a small switch. That switch can do two things
1. fail internally. It will look fine outside but it won't close the circuit
2. the screw holes snap and it hangs off the wires, the probe no longer hits the paddle and the switch stays open.
The lid switch is cheap and very easy to repair.

This is usually a door closed switch that is either a bad Lid switch It is number 11 on the diagram on this page http://www.searspartsdirect.com/partsdirect/part-model/Kenmore-Parts/Washer-Parts/Model-11024032301/0582/0153200/K0403014/00001?blt=06&prst=&shdMod=

Hope this answers all your questions
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there should be 2 or 3 springs that hold it, they mite have broke, take off back panel an check.

If it agitates fine , with normal noise , drains with lid closed , then the problem is probably the transmission .

You have a broken coupling that links the motor and transmission. Call around your area for estimates. It is a pretty straight forward job so most technicians should be able to give you an estimate over the phone. Most likely between $150.00 and $200.00.

you have a broken motor coupler,let me know if you want to tackle it-mike

lid switch is broke lever probley broke off or screw holes broke out due to off balance load forcing tub over against switch lever