Fills with water then hums when supposed to agitate but spins and drains

That's an easy problem to fix. I will supply the manuals you will need to diagnose the problem. You will need to buy a digital multimeter at Home Depot, Lowe's, or Radio Shack. Here are the manuals: https://dl.dropboxusercontent.com/u/...c%20washer.pdf
https://dl.dropboxusercontent.com/u/...%20washers.zip
https://dl.dropboxusercontent.com/u/...e%20Manual.pdf

Most likely you have a problem with the "Agitate and Spin Solenoid" that will require testing with your digital multimeter (DMM).