I've never read the book, but some of the documentaries that I've seen about the original Planet of the Apes movie, explain that the novel was writen as a kind of ecological warning to mankind in general. The point being that if we are not careful, nature will punish man for trying to dominate the world with technology and greed. It's a kind of a ecologists/green morality fable about man vs. nature in which man loses and in turn becomes a slave to nature.
I don't think that the new movie is any closer to the original book than the Heston version. In the book, the apes had flying machines and were at a level of civilization close to that of today. The apes do look more correct in the new movie although. They are semi-bipedal and movel more like apes. The Heston apes looked like they evolved too much, and walked upright like "humans".
I don't think that Chuck will have a cameo in the new version. He was reported to have stopped by the new production and harrased Marky Mark for making punk ass remarks about him and the NRA at an MTV movie awards show.