Oh dear! Having the Autolock chuck taper refuse to let go isn't good news, but don't go bashing it any harder just yet, there is too much to lose by damaging the internals of the quill. There is much on the forum about the troubles of removing a stuck MT2 taper, with suggestions about the cause being fitting a cold taper into a hot socket, as the pair of them cool to a common temperature the taper socket shrinks onto the arbour, and it can be a devil to get them to let go of each other. It sounds from your description as if this might be your starting point.
The answer is hopefully hidden in your second question about the threaded backing ring with three tommy bar holes.
You will have noticed that the thread in this is left handed. The purpose of the ring is to be snugged up against the nose of the quill taper, this stiffens the tool set up and changes the resonances to compensate for the shortcomings of a No 2 morse taper fitting.
What you can do at this point is to use the threaded ring to pre=load the taper in the "coming apart" direction. There is a pair of spanner flats on the nose of the quill, but you will need a very thin spanner to get onto them, so you may have to hold the body of the chuck to allow you to push the nut firmly up against the nose of the quill.
Tighten this as much as you can up against the nose of the quill, hopefully without brutalising the tommy bar holes in the ring, which is hardened so don't be too frightened of it. The idea is to establish a significant preload pulling the male taper out of the quill by pushing the ring against the outer end of the quill.
Now lock the quill (ball handle LHS of the quill). Now smite the end of the drawbar sharply, having made sure that it is loose and there is a bit of clearance under the head of it.. I'd use a copper hammer for this, you need a good sharp crack to break the taper. Patting it with a soft hammer or through a bit of wood won't do any good, and I think your 3 lb hammer is a bit too heavy, I'd go for something maybe half that weight.
I've got a face mill which jams every time I use it, I haven't broken anything yet by hitting the drawbar with a 12 oz hard hammer. No idea how brutal is too brutal!
Give it aa couple of good whacks, don't keep beating it if it won't come loose. If it won't we're into thermal shock as the next resort, but you need some dry ice to cool the Autolock chuck and that's going to be difficult at the moment. Ice and acetone will also work as a freezing sulution, but that's getting even more complicated.
I'm charging the camera battery at present, and will post some pictures of how to assemble the chuck – hopefully correctly – later.
Do let us know how you get on.
HTH Simon