|why are they spending so much effort (and, again, our time) with the framing arrest of Hal Jordan? why's he so fucking special out of all the green lanterns or for that matter most of the JLA?|
Well, seeing as how the enemy this time around are Gods, they're fighting a god war. Systematically destroy opposition in the form of silencing or subverting symbols of hope, faith, and community. Look at how Alan Scott speaks to the troops.
Martian Manhunter's telepathy is a good place to start, but he's a damn backbone and elder statesman of the DCU's army of Good. Batman's capture was seemingly accidental, but still easily obtained. Superman is held still by Lois in the ICU. Hal's important not only because of his power, but his perpective and reputation makes him a threat to rally the forces. That leaves Diana, probably the most steadfast and sure. She needed to be dealt with in a way that didn't make her a martyr. Everyone else that's been JLA, JSA, or otherwise has been a scrapper or a leader from left of center. Similarly, Lex Luthor, the hero that never was, is in checkmate.
Barry's back because he's basically the Second Coming.