^Camp is presenting something in an exaggerated and farcical way in order to poke fun at it. If the intent is to treat it seriously, then it's not camp.
I think Batman Begins is a flawed and uneven film. The parts of it that feel like a character-driven indie drama are awesome, but the big action set pieces are pretty stupid and feel tacked on to meet the expectations of a summer blockbuster. First you've got the part where Bruce says he refuses to kill, and then immediately, deliberately throws a hot poker into a munitions dump and kills a whole bunch of people. That was unforgivably stupid and wrong, assassinating the character and throwing logic under a truck just to meet a mandated quota of explosions. Then there's the climax where a microwave weapon is somehow powerful enough to flash-vaporize all the water underground (and somehow able to penetrate the metal pipes in the first place) and yet doesn't boil the water inside people's bodies and kill a whole bunch of people (who are also oddly unscalded by all the superheated steam all over the place). Not to mention the needless complication of turning a toxin into a waterborne form just so you can then vaporize it. Why not just make it airborne in the first place? Who's the League of Shadows's strategic planner, Rube Goldberg? That whole thing is just complete nonsense and physical impossibility on every level, and it belongs in something as ridiculous as the Burton or Schumacher movies, not in a realistic universe like Nolan's.
So BB was a very flawed movie that only got it half right. It wasn't until TDK that things really came together, either because Nolan had figured out how better to integrate action into his realistic approach, or because he was under less pressure from the studio and got to do things his own way.
I never really had a problem with Katie Holmes as Rachel; I think she did a perfectly acceptable job, but happened to be surrounded by really brilliant actors who were operating on a higher level.