1. Yes. Why do you think it’s called the Batcave?
2. Yep. A trophy from a villain obsessed with pennies.
3. Duh. Because the Bat-Garage is stupid.
4. Sure. What else would you wear if you wanted to match fisticuffs with Superman?
5. Affirmative. It’s from Dinosaur Island.
6. Jah. Batman keeps the uniform of the second Robin, Jason Todd, on display in the Batcave as a memorial. Despite being killed by the Joker, Jason seems to have come back to life in the comic books recently as the villain Red Hood.