i have an 04 gsxr as well
i've taken the all the fairings apart and re-assembled it while doing some clean up on the wiring on my bike (previous owner was not very good at wiring)
i would start with the front and work my way backwards
1)so front tire, then nose
2) either left or right side(doesnt matter, but each side slides into the nose)
3) then the other side
4) behind the wheel well, theres a piece of plastic almost V shaped that connects the left and right fairing, snap that together (push pins)
5) secure the push tabs on the bottom of the bike that joins the left and right fairing
6) tail section (1 piece and very straight forward, just open it up a bit with you hand while sliding it in.....thats what she said lol)