I would tend to agree. While it's possible that all four motors are damaged, I think it's more likely that you've got an ESC problem instead.
I'd try to get the actual problem diagnosed before I started replacing parts. You could replace one or all of the motors, only to find out that wasn't the real problem. As ianzone mentioned above, you should first check to see if the drone is still linked to the controller after the crash. The flashing linking light seen in your video doesn't usually flash under normal operating conditions.
