Ok, thanks for the replies.
No I don't have any kind of warranty, it's been more than three years since I bought it and I never had applecare. The dead screen is definitely my fault (well, my friends actually, but certainly not an underlying fault). And no, I don't have much experience with computer hardware other than building a PC once.
I can't take it into an apple store as I'm in New Zealand and we don't have those

. I'm replacing it with a newer Air for taking to university, but I liked the idea of having it as a desktop.
As I'm replacing it, and it's not worth very much, I don't mind taking some risk taking it apart. I guess I'm asking if anyone has done this before, and if there's anything in the lid other than the screen.
Also, thanks for the iFixit link chibiterasu, mines an Aluminium one rather than polycarb but they do have a tear down for that, unfortunately they don't seem to show how they took the lid off.