Not to mention all those Companions miraculously showing up and saving butt and whatshisname (sorry, been a long time) just happening to fall in love with the Queen but fortunately the mercenaries become landed gentry just so Kerowyn can stay and become a Herald and yeah. . . seemed a little contrived.
The Goblet of Fire, of course, does not have this problem. Eh heh. Harry managing to survive by some sort of pure luck every time could be categorized as deus ex machina, but I don't think so because, uh, I dunno, it just doesn't. Not to mention that every time Harry is saved by what seems to be a stroke of luck, it serves as a pivotal plot point for future events, so it's really not like Rowling just went, "Oh cripes, Harry needs to be saved!" and threw something together.
I read The Goblet of Fire in seven hours straight and don't remember a thing other than dead people popping out of wands at the very end. It was really, really good, though. ^_^