My kitchenaid icemaker stopped working for us a few months ago. I can't recall if our LEDs were blinking as you note. Upon further inspection we noticed that the little PVC tube that feeds water to the ice tray was backed up and frozen solid with water. Pulled out a hair blower and on the warm (ie not hot) setting was easily able to thaw it. You'll know when it's fixed, a big chunk of ice comes out.