Replacing Starter Relay on Whirlpool Refrigerator

I have a whirlpool refrigerator model #ED2PHEXMB00 and it stopped blowing cold air. Over the phone a repair guy told me to look at the relay and I did and it is fried. The first attachment is a picture of the part after I pulled it off of the compressor. The second picture is the disassembled part.

Appliance Parts Pros told me I needed part # 4387535 to fix it. However, when I got it, it doesn’t seem like everything I need. The last picture has the new parts with one of the old parts that seems to be the same.

Can anyone help me understand what I need to do with this and if i need a different part or more parts?

Thanks a bunch!

-mike
fridge-old-part.jpg (42.1 KB)
fridge-old-part-dis.jpg (44.7 KB)
fridge-new-parts.jpg (46.2 KB)

You could burn out the compressor if you install and wire it up wrong.
Call this site and order the kit AP3885081. Per the instructions, install one of the large, white boxes. To wire this up, you will probably need new crimp on spade terminals that match up with the device pins.