For the statue quest, were you able to go back to the main hall in the shrine and talk to Nue / Chryseis again? I've added a fix for the Diplomacy one!
Viewing post in I can't finish the new quests
My bad, I thought there were 4 because the quest said only 4 statues, reading the other comments I realise there are 5. I thought there was a bug because when I destroyed the statue that was in the tree, the statue reappeared later, without giving me the option to destroy it. Sorry for the inconvenience!