I haven't understood your explanation yet. In the picture I seem to be seeing an old carburetor the same as the 60102 one, with a manual choke. The choke is pulled right out in the picture,which would give you full choke, but it is also rotated about 90 degrees, which you can't do unless it has been broken. Perhaps someone has done something desperate to it, and you need to repair it to make it work again.
I can't imagine the carburetor having two chokes, so it sounds as if you have the wrong speed control fitted, and it shows a choke function that would only apply to some other carburetor that you don't have.