None of the Supers know Barbara's ID. Clark probably figured it out when Dinah had him rescue her from the Brainiac thing, and Babs knows this, but he'll certainly still act like he doesn't know.
I mean, everybody and their pet fucking dog knows Barbara's secret ID since That Wedding, we've got Hal stalking her around Gotham and Metamorpho loitering on her roof and Kara hanging out in her goddamn apartment, but all of those are equally meaningless, since post-That Wedding knowing Babs is Oracle is like knowing Ralph is the Elongated Man.
Nobody knows about Azrael, because nobody cares about Azrael; I think Hel's generally known to the League (including Clark and Steel), but Kara and Kon probably don't really know who Huntress is to care what her secret ID might be, and the other Supers definitely don't. Generally I'd assume all the Bats know everybody else in the community; Bruce, Babs and Tim will pretty much find out who you are as soon as you pop on the scene, and they make their info available to the others.
Who knows what about Jason is an interesting question, though.