Battery Again

So what is the trick for moving the cables to one side, and that square box in the middle?

I can't really offer you any help.
But WOW, that sure is CLEAN. Mine wasn't that clean when it was new!

What I did was undo all the connections that are infront of the box. Undo all the ties, rewire so you can get to the battery easier, connect everything and zip tie them all back down. You really can't mess up when reconnecting as almost every connection is different and will only fit in it's male/female counterpart. Hope this helps.