Originally Posted by Zaleukos
Yes, they are connected (it works just like a city liberation quest in that regard).
I'm not sure about the spawning of new enemies (not respawning) in the case of the mine though. I have had new similarly composed groups of generic orcs pop up "behind" me both when attacking from below and above, and in the latter case they couldnt possibly come from the outside. I havent seen that kind of behaviour in other liberation quests.