I'm unclear what exactly you are looking for on the lug nuts. Do you have a picture?
If you had them you would likely know.
The 1965 came with open lug nut wheel covers. The lugs were about 1-1/2" long, looking like the picture. Chrysler at the time used left and right thread lugs, the left lugs were stamped "LL' while the right lugs were unmarked.
Yes, the carb in the photo is what's on the car. I got a look at it, the thing is seriously ratty. It's been sitting open for who knows how long, it's all frozen up, and it's filthy. It's so nasty I would not feel right selling it so you can have it for free, just pay the shipping.