Washer does not fill quickly for rinse cyle

If this has always stopped during the rinse cycle, most likely it's the "cool down" part of the rinse cycle.

See the following Sears site for manuals. Enter your model number and you should be able to download the proper manual for your washer.

http://www.managemylife.com/mmh/owner_manuals/

We bought our Series 800 Washer (and dryer) in 08/2009. My wife has never been happy with them. It is off warranty now 10/5/2010. We have always had Kenmore... but she hates this set.
We are having the exact same problem with this washer. The current problem is on the regular cycle when it gets to the spin segment it does spin and all the water is removed HOWEVER just before it shut off it fills with rinse water.
I'll bet any money they are made in China. Looking for a solution on the web. Sears is no help.

If the machine fills, and washes and won't drain or spin out the water you need a direct drive coupling. It is located at the bottom and is on the motor shaft and consits of 3 pieces. Check this first, easy fix and not expensive.

This is a problem with the pump being stuck so the motor cant turn the whole thing. Turn the washer on its side, underneath you can acces the pump, which is connected to the motor by two long clips. remove the pump and take out the colg that caused it to get stuck.

Lid switch problem. Press down on lid and try to start machine. Reply.

The pressure switch is failed - remove the tube from inside the top console area and blow it out. If you're lucky it will again work - with no charge.

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The Timer is the most common problem. Call Sears or Appliance Parts stores for new timer and replace it

Check to make sure your lid switch is working.

washer will fill with water that's it, will not operate on any cycle

Marrr
Ingllis washers have a bad habit of picking up socks, small items anyway in the drain protector hose, slows down water flow but ensures the items dont get sucked into the impeller.
from the underneath you shhould be able to see a clear cup sized container with a hose in the side, held in with hose clamps. check if this is filled with any clothing, undo the hose clamps and you should bew able to empth the cup with fingers