Kenmore washer model111, will fill, agitate but won't drain? i am assuming that it is the water pump, but why would it fill up???

no it not a fixable problem you need to buy a new unit

What is the complete model number of your unit?

Please recheck that model number. It is coming up as a microwave.

see this causes and fix it. God bless you
Coin Trap If the washer won't drain the coin trap may be clogged. This washer is equipped with a device near the water pump called a coin trap. The purpose of this device is to trap any foreign materials that make their way down the drain. Normally, the coin trap can be accessed through an access panel. It is designed with the homeowner in mind and is normally easy to clean out.

Drain Hose If the washer won't drain water check the drain hose. Be sure the hose did not get kinked behind the washer. Also, remove the hose from the pump and check it for obstructions.

Door Lock Motor and Switch Assembly If the washer won't drain the door lock assembly should be checked. The door lock can fail either mechanically or electrically. Test any switches on the door lock with an Ohm meter. The switches should have continuity according to their design.

Lid Switch Assembly If the washer won't drain the lid switch assembly might be defective. This is a very common problem. The lid switch assembly can fail either mechanically or electrically. Test any electrical switches with an Ohm meter for continuity. The switches should have continuity according to their design.

Drive Belt If the washer won't drain, should check the drive belt. If the belt is broken or if it isn't tight on the pulleys the washer won't drain properly, if at all.
Clogged Pump or Hose If the washer won't drain there might be a clogged pump or hose. It's common for small socks or other small clothing items to get into the water drain system and clog the hose leading to the pump or the pump itself. Remove the hoses from the pump in order to remove the article of clothing. Keep in mind that any water in the washer will pour out of the hoses when removed.

Drain Pump If the washer won't drain water the drain pump might be defective. It's also common for a small sock or other article of clothing to get caught in the drain pump or in the drain hose. Check both for an obstruction before replacing the pump.
Belt, Water Pump If the washer won't drain the pump belt might have broken or might have worn out. Check the belt and replace if it shows signs of excessive wear.

Sounds like the fill switch needs to be replaced. A good way to test it is to set your machine on low fill and see if it fills past 3/4. If it does, it's the fill switch.

WASHER FILLS WITH WATER, THEN WON'T AGITATE. TURN KNOB TO SPIN AND IT DRAINS THEN SPINS. STILL WON'T AGITATE please show me a diagram

This assumes that you have a basic Kenmore / Whirlpool top load, direct drive, neutral drain (it doesn't spin until the pump removes most of the water) machine.

First, see the Sears parts site for your washer:
http://www.searspartsdirect.com/partsdirect/index.action

Enter your model number and you'll see a list of major sub-components with diagrams and parts.

I assume that you mean after filling, it won't begin the agitate cycle.

If you can hear the motor but the agitator won't move, it could be the "motor coupling". (See the motor section of the Sears site. This coupling is a fail safe between the motor and transmission. If the plastic prongs break, or the rubber center piece wears out, the transmission cannot agitate the washer.

If you can't hear the motor, it could be a timer problem.

Try to manually move the timer to a spin position and see if the motor / transmission move. If they do, it is most likely a timer.

Leaks water...check the pump first. The fill valve and hoses may be the next step. See how to take apart info. With the use of plastic drain hoses on many machines today, this has become a common leak trouble maker. The drain hose can rub the wall or a pipe and this will rub a hole in the drain hose.
 

1. Agitation problems and agitator dog repair aid info
   
2. Automatic dispenser information
   
3. Common problems with Inglis, Whirlpool, Kenmore direct drive style of washers
   
4. Diagnostic Direct Drive washer chart from American appliance
   
5. How a washer works, good to read this first
   
6. Help for storing an appliance
   
7. How does the agitator come off my washer ??
   
8. How to prevent socks from getting into your pump
   
9. Ohm test a common direct drive motor
   
10. How to by-pass a lid switch for testing the washer
    
11. Basic information: Inglis, Whirlpool, Kenmore Direct drive washers
    
12. Inglis, Whirlpool, Kenmore Direct drive washers - How to take apart - Cabinet off, cabinet on, checking or replacing a lid switch, replace the pump, replace motor coupling or motor.
    
13. Inglis, Whirlpool and Kenmore direct drive washer- useful parts breakdowns
    
14. Important disclaimer
    
15. My direct drive washer will fill ok, agitates ok but when it comes to the spin and drain cycle the washer comes to a screeching halt...no spin, no draining and the timer stops, what's up?
    
16. My clothes have a whiting on them that looks like lint.
    
17. My washer has a funky odor
    
18. Noises
    
19. Ohm meter testing a motor capacitor
    
20. Slow water fills
    
21. The wash tubs on my direct drive washer are leaning to the right...why?
    
22. Timer stalls or missing cycles
    
23. Timer will not advance
    
24. Tips on changing a common washer fill valve
    
25. To learn more about washing machines, click here
    
26. Washer Basics: Filling with water
    
27. Washer leaks water
    
28. Washer moves around to much
    
29. Washer will not spin
    
30. Washer sample wiring diagrams
    
31. Washer spins and agitates at the same time
    
32. Washer belts: If your belt on any washer looks like these, replace the belt(s).
    
33. Washer runs but wont agitate or spin
    
34. Washer won't run, agitate or spin
    
35. What is that black power powder or filings under my washer??
    
    
    

http://www.youtube.com/watch?v=WLPGs2UMUJc

This will show you how to get to it.