Well, I'd assume there's a timeline in Geoff Johns' head since he's writing both books and seems to have tight creative control over GL in general. But I won't try to work it out myself.
Sounds like a project for DiB.
But yeah. Like Proj said, there's a five year gap between this Justice League story and the present GL book. It's conceivable Hal has gone from rookie hot shot to suspended loose cannon in five year's time. It's more a question of whether the collective back history of the entire universe can fit in that span, and since DC is being vague about what happened and when it happened and how it happened, that's a hard conclusion to reach. You might be able to decompress some of the Green Lantern (and Batman too, for that matter. He's the other guy who seems to be keeping most of his background intact) history by assuming Hal's been running around in his costume since before that "age of heroes" five year window but he spent most of that time tooling around in space as a super cop rather than being a conventional Earth superhero. Same goes for Batman, if you play up the urban myth angle and see this "JL: Year One" story as him coming out as a recognized vigilante rather than a superstition amongst thugs.
My solution is to just not worry about it. Assume time works differently in comic book world, or assume it's allegorical, or just simply not care. I'm certainly not invested enough in Johns' stories to fret about it.
