Is this nut on backwards?

Yup, it's backwards. That's not a castellated or "castle" nut, either. See here.
No, but as I said, the nut has a castellated part. I don't know what else you'd call it.

They go on the way it shows here (click on link), which is what slantsixdan and a few others have said: Slant 6 Exhaust Manifold Washers
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