I swear I am now done messing with this thing. I realize that replacement hardware will be considered blasphemy by some, but I'm not one of that "some."
I was able to find exact replacement hasps and a lock. The patina is not perfect, so maybe I need to leave this thing outside for a couple of winters.
To replicate the original fasteners, I cut down 16 penny nails and ground off the waffle head. I'll never sell this piece and I do think it now presents better.