I've read through this post and I think I have the same problem. I've got a KitchenAid KSRA25KKBL01 fridge and getting the clicking noise. I removed what I assume is the relay (shook it and it makes the rattly noise) but it looks slightly different from what I find online. I'm looking at a Canadian online store which has the same stuff it seems as the store here.
So should I just order the Overload and Relay Assembly (Whirlpool 4387835 | Overload and Relay Assembly Any help is appreciated.