Check the door safety switch. Sometimes you can rock the lid left and right and close it back it might clear what's blocking the switch. Make sure you have the washer on.
when in rinse washers use just cold water so clothes don't wrinkle,try this,set the washer to just cold,start it and see if it fills or fills slowly if so you have a bad water valve on washer or no cold water going to washer.
top loader
the problem indicates that the air dampeners on the ends of the support rods for the tub have failed
with them broken any small out of balance is escalated to the machine walking around the floor
A couple of ideas.
First, type in your model number to the web-site named: "SearsPartsDirect".
The schematics will show whether you have a drive belt on that model.
If there is, that belt may be slipping, or worn out.
Before you order a belt, consider this.
If the machine is not properly spinning out the water on the spin cycle, ( for example, if the belt were loose), then too much water may overload the machine causing your problem.
God bless your efforts.