The common issue with won't spin and won't drain is the lid switch. That's what I would go for first.
Here's the service manual on your machine: http://www.manualslib.com/manual/895199/...
Here's where to get parts: http://www.searspartsdirect.com/model-nu...
Most Frequent Causes for Washer won't drain
Sometimes, small objects or articles of clothing can get caught in the drain pump. To determine if anything is blocking the drain pump, remove the drain pump and check the pump for obstructions. If the drain pump is clear of obstructions, but is still noisy during the drain cycle, replace the drain pump.
Clogged Pump or Hose
Sometimes, socks and other small articles of clothing can get into the drain system and clog the pump hose or the pump itself. Remove the hoses from the pump and check for any obstructions.
Lid Switch Assembly
The lid switch assembly prevents the washer from spinning when the lid is open. If the lid switch assembly fails, the washer will not drain. To determine if the lid switch assembly is defective, use a multimeter to test each of the lid switches for continuity. If a lid switch does not have continuity, replace it.
Most Frequent Causes for Washer won't spin
Lid Switch Assembly
The lid switch assembly prevents the washer from spinning when the lid is open. If the lid switch assembly fails, the washer will not spin. To determine if the lid switch assembly is defective, use a multimeter to test the lid switch for continuity. If the lid switch does not have continuity, replace it.
The motor coupling connects the motor to the washer transmission. If the washer is overloaded, the motor coupling will fail in order to protect both the motor and transmission. The motor coupling can also fail due to normal wear. Inspect the motor coupling to determine if it is broken. If the motor coupling is broken, replace it.
Inspect the drive belt to determine if it is broken or if it is loose on the pulleys. If the drive belt is broken or loose, replace it.