I have a problem with the random normal queue. My tank and healer toons (under level 50) stuck in queue forever. Had no problem with queue for the vet dailies with my main character.
Same, for normal group finder all day just sat in a few long queues. Some about an hour (for tank) and never got in. Usually takes a few seconds. Broken for sure.
I queued and requeued many times as a healer from 30 mins to over an hour without getting into a single dungeon over the course of afternoon and night.
This has been going on for several days now.
You can, however, queue for a random vet dungeon and that works just fine, though it is slower of course, if you want to farm crystals on multiple toons.