Hi Paul.
The wheels, were attached to the runners under the cord winder. Without the winder in place, they stick out and make standing the cleaner on end impossible. If you don't have them, but want a set I do, and will see that you get them right after I get home from the convention, as they're in a box of attachments. I probably have the other tools you need. I know I have a sprayer, but not the jar. For that, an old mayonnaise jar will do fine. I may have a vaporizer too, but in chrome not Hammer tone blue, let me see what's in there.
Yes, the power polisher is correct to that model, and you have the correct cordwinder too. A word of caution, the spring on the winder tends to mess up, and get sprung. If that happens DON'T try to repair it!!! The spring was coiled by machine at the factory, and is razor sharp. Here's what I suggest, pull out a normal amount of cord, but don't over-do it! Don't pull further than the normal amount, it could spring the mechanism, and never rewind again. (Been there, done that!) And here's a tip. To make the cord rewind better, dust your hands with talc (baby powder) and run the cord over the hand. Dusting it every few weeks is easy, and lets it rewind smoothly.
As for the companion, there are two types for the LX, and your machine IS a LX, NOT a LXI!! Both companions are in hammer tone blue, but one has a clip for the narrow space tool, the other does not.
Do you have the instruction book?, you can acquire one by going to the Vacuum Land library. Locate that on the main web page, and follow the directions.
Mine is pictured with the extension cord, which in reality it's not, it's the main power cord, but as the cordwinder replaces it, the main cord is now an extension one.
Perhaps the only useless tool is the tufter, and in place, prevents the rug tool from the swivel. It also seems that you have the correct rug tool, the turquoise Bakelite top is correct. If you want an original hose I may have one, but as I say, it's useless, but great for show. (I'll see what's in my storage shed.)
So my friend, enjoy your model LX, as I say, you have a rare find.
Alex Taber.