Dunno what that 'star' thingy is, but it's a std. way of setting up canties.
The brake-wire goes through the coin shaped thingy, through the tube (to get a fixed length) and bolts to the cantie.
The other wire 90 degrees on is fixed on the coin shaped thingy and goes on the other brake.
You have different lengths for different spaced canties (type 'c' type 'd' etc.)
As for the spherical washer being on inside or outside?... Inside might increase stopping power, but might also increase chatter.
I'd RTFM before flaming too many