"No, what I have done is repositioned the wireing into an entirely second hole. The original hole was only for a light mount, and was screwed into the drywall. I didn't want the fan falling on me, so I moved this
over about a foot to a beam. I have 4' wires for extending the existing connections, which I attached with some wire nuts. I have to deal with
the old hole, but that's not a functional issue. "
Hope your aware that per electical code, the original ceiling box from which you ran the wire to the new box must remain accessible with a cover plate, ie, you can't drywall over it or leave a splice in the ceiling without access. That's one reason they make the expandable hanger bars, so that you can position them between the joists.
"The problem now is that I see something labelled "wiring box" on the diagram. I certainly don't have it, and it isn't a part of the things that came with the kit. From what I can see, I have the wires, a beam,
and something to mount into it. I figure I am set but I want to make sure I'm not missing something with that box. The only thing I can tell it helps with is distributing ground to the fan. That can be remedied easily enough by attaching ground to all the ungrounded spots. "
There is no other box, other than the electical box the fan hangs from. A wire secured to that box and connected to the incoming ground wire, plus connecting the incoming ground wire to the fan ground wire is all that is required.
"What I'm concerned about is if that box is supposed to provide some kind of stability or strength. "
The metal electrical box that you installed is all that's required to hold the fan. Be sure it's securely fastened to a joist, or cross 2X4.