Series 90 Kenmore washes but won't rin...

A washer that fills and doesn't do anything, or stops right after the wash cycle and then does not advance to the rinse cycle and drain is commonly caused by a lid switch malfunction. The lid switch is usually mounted under the washer top casing, on the right hand side on most top load models. It is activated by a plastic piece on the lid (called a "Lid Strike") through a small hole on the rim of the wash tub opening. In many cases the lid strike breaks off the lid, or the lid switch becomes loose and no longer makes contact. Inspect the lid to make sure the lid strike is still intact, and then inspect the mounting screws (adjacent to the small opening on the wash tub rim) and make sure they are snug. If you determine the switch to be defective, the following link explains how to replace one:

http://www.fixya.com/support/r385198-replacing_lid_switch

If the switch requires replacement, a new one can be purchased on line at searspartsdirect.com, pcappliancerepair.com, repairclinic.com, appliancepartspros.com. Just use your model number as your search criteria. All these sites offer competitive pricing, so shop all them for the best price. If you still need assistance, please contact me and let me know. If my diagnosis is not correct, please post back and elaborate a bit more so I can assist you further. If your washer is not configured this way, or if you still have questions, please let me know.