Choke carb is on the left, primer carb on right... on the primer carb you can see a small hole drilled below the top left bolt hole, that's where the air gets pushed into from the primer. Your choked carburetor doesn;t have that, so it will not prime.
So here's another photo. No cable or anything like that, plus a thread for some sort of bolt ("?"), so the whole thing does seem out of place.
Did I reconnect the spring correctly? ("??")
So from the looks of it, are my options:
1. Get a new carb. Would need a primer carb, not a choke one, right?
2. Permanently fix the choke in the closed position.