Continuity mistake: In the very first scene when we enter Clarke's room from outside the window, you can see bars/old window frames in it. In the next shot, from inside the room, you can plainly see that it looks like an open balcony without any of the previous structures. (00:01:15)
Continuity mistake: When Lexa enters the throne room for the meeting with the ambassadors from the 12 clans, after she reaches her throne she stands in front of it, holding her hands behind her back. In the following shots, her hands keep switching from behind her to in front of her, to at her sides. (00:03:45)