… Sometimes, at the beginning of the game, neither of us has anything we can play.
A: You have to play another card, but you may choose to draw instead, just as if it were your “second draw” option. Imagine that Warp Factor 3 lets you have another play for your turn, and, just like the first play for your turn, you can opt to draw instead (especially since, as you point out, early in the game sometimes you might not have any good plays to make.)
A: Yes. Each of those cards can eliminate one Villain per turn, so if one person had all of them in play, they could eliminate three Villains per turn.
Elsewhere in Gotham City says says “Villain Creepers held by others do not prevent you from winning”…
A: So, the thing about Creepers in MOST Fluxx versions is that they prevent you from winning if you have them. In Batman Fluxx, however, the Creepers are special, and affect others in addition to you: Creepers anywhere on the table prevent everyone from winning with a Goal that doesn’t involve Villains. So the Elsewhere In Gotham City Rule makes Villains work the way Creepers do in most other versions: other people’s Creepers don’t prevent you from winning… but your own Creepers are still a big problem for you.
That’s the idea behind the theme of this Rule: all that trouble is going down Elsewhere, but here where you are, it’s fine… unless it’s not, i.e. you DO have crime (Villains) in your neighborhood, in which case you can’t win with that Goal.