Strange situation on rear brakes - 67 Barracuda

I think your right. So they rub the backing plate? Put a few more washers on. Good to go.
Just kidding don't do that.
Can you really not get 10" replacement drums and the correct shoes? Or did someone just cheap out and cobble together what they had laying around.
Last new set I bought was in the early 90s. Been using larger B&C body brakes since then.

The correct rear 10" drums are obsolete and impossible to find unless you get extremely lucky. Some of the part stores no longer have the front drums available either so it appears they are also headed the same way as the rears.