That's actually Brik, who had a longtime crush on Hal in the early days of the 1990 series. Though at that point I don't think she'd been seen in the book for awhile, even before "Emerald Twilight", so it's still a little odd they'd put her front and center.
At the time (and off the top of my head):Meanwhile, other than his longtime friendships with Oliver and Barry along with the retconned (in my opinion) hissy fit Bruce has with him (but then, that paranoid bastard has hissy fits with everyone), I'm not entirely sure what sort of relationships Hal has with Clark, Diana or Arthur.
Hal and Arthur - were not only founding members of the JLA, but had more recently been team mates on JLE (post-Giffen & DeMatteis).
Hal and Clark - faced Mongul & Cyborg Superman together during the Coast City debacle, but prior to that I can't think of any notable interactions beside the occasional crossover (Millenium, Invasion!, Eclipso...)
Hal and Diana - Good question! Again, a few issues of JLE is the only post-Crisis / pre-Final Night interaction I can think of...?