Manic Monday--JLQ

OK, I have some questions about the much delayed Justice League Of America #3 from last week.

Let's set the scene.

Since Stargirl is apparently super-popular (perfect tell, don't show, guys!), Amanda Waller has her cranking out pro-JLA PSAs:

Meanwhile, as part of a plan to infiltrate the Secret Society Of Super-Villains, Catwoman (whom the public is unaware is a member of the Justice League) is going to let herself be caught stealing some jewels...

...and let herself be publicly chased down by the JLA...

...and imprisoned...

...In Arkham?!?...

...and then escape.

So...I've got some questions.

A) They lock up jewel thieves in Arkham Asylum? Really? It must be getting pretty crowded in there if they're throwing non-violent, non-insane petty crooks in there...Does Geoff Johns understand what Arkham is...?

(I would ask about admitting Selina in full costume, but, you know...Arkham.)

B) After PSA's promoting the team as"protecting the world as no other team can," their first public mission is...chasing a cat burglar? And then heavily publicizing that the freakin' Justice League Of America is out "in full force"...to capture a non-super-powered thief? What's next, sending the team out to stop muggers? Mixed PR messages, is all I'm saying. Then again, DC is the expert in mixed PR messages...

C) Steve Trevor is all chuffed when Green Arrow shows up to interfere with their little pantomime. Although, if he didn't want interference, then perhaps staging a very public crime and chase of Batman's "friend with benefits" across the rooftops of Gotham might not have been the best strategy. Even if Batman were otherwise occupied, there are plenty of other vigilantes there who might have turned up to "help"...

D) This issue shipped 5 weeks after its initial solicitation date, which is pretty damn late for being only issue #3. Since this book is the one of the lynchpins of the Trinity War event, what are the odds they can get the book back on schedule to sync up with JL and JLD? How long until Finch is benched, or given substantial "help"?

Then again, this is DC, who published the Epilogue to the First Lantern story before the final chapter of that same story, so maybe they just don't care about releasing their crossover stories in order...