Do I need to replace motor stator if windings are broken?
A broken wire means that electrical current will not be able to pass through the winding. Many of the newer washers use these large diameter stators with multiple pole pieces (the one in my Kenmore washer is ~12" dia with 36 separate magnetic poles). They often have three windings that are organized so that the same wire is wound around every third pole. Just one wire broken means that one third of the poles will not get energized by the motor drive controller. 

The broken wire would have to be repaired or replaced if there is any hope of salvaging the stator. In addition your pictures seem to show multiple damage locations including parts of the enamel wire insulation being knocked or scraped off. This is not a good sign as adjacent turns can short out. Shorted turns on one pole piece can imbalance the motor as the rotor part of the motor turns in operation. 

I just had to replace the bearings in my top loader washer and this required removing the motor assembly that is pictured below. There is a good solid reason that the service instructions said to carefully remove the stator and place it on a soft towel out of the way while working on the rest of the bearing replacement.