The 1st one is Talos amulet. I played hearthfire and wanted to build talos shrine. But my 4 talos amulets where quest objects so I couldn't. I was doing the quest http://www.uesp.net/wiki/Skyrim:Return_to_Grace. But she didn't take the amulet. I didn't get the reward. And the quest is still there. YES I could drop/sell them again and create the shrine but I really want this fixed.
The 2nd one is the strange/necromancer amulet from the quest "Blood on the Ice". I did the quest and killed the real butcher. Quest complete. But the strange amulet is still a strange amulet. Can't drop it or anything.