Mark, the first and second photos you show are of different collet/chuck systems.
The former is a "Type B"; note the cross cut in the end. It's complete, not requiring another sleeve.
I have one on the desk in front of me as I'm tying this, but with a 1/4" collet.
The taper end of the collet is threaded and will accept a 1/4" Clarkson Autolock type endmill, so I assume the one Keith is/was selling will be correctly threaded for a 1" end mill.
I bought mine as part of a job lot, and just have the one body and collet; immediately after taking delivery I was browsing ebay and found a couple more collets for sale, but I didn't bid on them, as I've no current use for another holder, all my stuff is MT2; I've 3 working collet chucks in the right size anyway, plus a couple of compatible larger bodies ready to go if required.
From what I can see, all posts after your very first one, have gone off at a tangent, and are discussing a different system entirely, albeit from the same manufacturer. The only other direct similarity is the square nut on the end.
Unlike the Clarkson and similar, there is no obvious pip in the end of the body, for the mill to centre on, just a plain machined face with a very small hole in it. I'm not sure if that hole was for the original machining operation, or if there is a removable/replaceable pointed insert, which in missing in my example.
I can come up with detailed photos and measurements later, but I'm off out for the day after this coffee.
Bill