The lv 31+ quests are all in Babiron, and I think the first of them directs you there.. but it's been ~2 weeks since I've done it now, so I'm not 100% sure.
By, "the new PvP zone", I assumed you meant Viledon. Again, it's been 2 weeks so I don't remember the exact details, but I don't ~remember~ getting explicit guidance to go there. There may be some that I just forgot.
Still, though, having unfinished quests or dailies from earlier levels wont block your progression in a later level's quest line.