Is there a way to link the *position* of one track to another? For instance, when I move some text around the screen, I want another block of text to move with it.
You can nest the clips together into a new sequence, and then move the nest. You'll have to climb into the nest if you want to move them separately, but it would otherwise work the way you're hoping.
Actually, I only mentioned text as an example. I'm working with a bunch of images... some of which are animated on their own, so, they can't be all 1 layer. (I'm assuming that by "composite", you mean making them all a single image. Or did you mean something else?)