Continuity mistake: When Anastasia returns home with the contract in her hand, she enters her flat and the computer guy is just finishing fixing her laptop. During this scene her brown leather jacket disappears, but she is still holding the contract in her hand - this is a continuous scene with no time for her to remove the jacket.
Continuity mistake: When Ana has her first Red Room experience and Christian is unlocking the door, her hands are behind her body. As we see Christian insert and turn his key, her hands are in front of her and then behind when we see them both, and then finally in front of her again and they stay that way until they walk in. There was no time for her to change positions since you can see her in every shot.