The quests seem to have some bugs. I can't finish the "drunk, kill cop, kill xx with melee,..." too. Some work, some don't.
I had the problem, that when I was given the quest to kill xx with melee weapons, that the first did count, but all others didn't. Next was if I had to cook something, I only could finish the quest by staying in the menu for crafting the meal (sorry - for my bad english - I don't know how to call it).
But this mod is just awesome. I have spent so many hours with it the last few weeks... I really love it.