Last night on James' request, myself & some of the Dorkbot crew had a look at the lighting gear on the balconies. This is what we found out... don't know how much of this was known already.
We have sorted out the working lights from the dead ones, there are eight working in total and these are now all on the two lighting stands. All of these are connected to the large mixing desk, which does seem to work fine.
There are only six channels on the distribution box, two sockets each, so some channels run two lights. Which is which can be swapped around by just shifting the plugs around.
There is a second distribution box with another six channels. This needs an adapter to plug it in to a standard mains socket. If this can be done, it can also be hooked up to the mixing desk and some of the lights transferred to it, so that every light is individually controllable.
There is one spare bulb taped to the mixing desk, which we took from a light which wasn't working, though the bulb looks intact. It may be possible to put this in one of the housings in the "dead" pile (at the far end of the balcony) to get another working light.
The bulb we took out was rated at 500W. If this is the same as in all the lights, it means each will have a current draw of 500/240 = 2.1A and so six lights can just about be run simultaneously on a 13A circuit.
If each of the two distribution boxes is hooked up to a separate and dedicated 13A circuit, or both to a dedicated 30A circuit from the main fuse distribution board downstairs, it should be possible to use the lights in any combination without worrying about blowing things.
Hope this helps!