Plot hole: When Annie (pretending to be Hallie) lies to Meredith about her father's "routine" with ladies, she mentions how he gives them a bottle of his "special reserve label wine." He then approaches them and really does offer the special reserve to Meredith. It's impossible that Annie was able to predict this. She expected her father to be single, based on what she was told by the real Hallie. Neither girl could guess how he behaves with girlfriends.
Character mistake: Annie talks to herself about not being able to handle the situation with her dad and Meredith, before Chessie appears from a chair. Since Annie thought she was alone, it doesn't make sense that she was talking to herself in her fake American voice, before Chessie surprised her.
Audio problem: When Hallie and Annie are fencing, there is a scene where Annie's sword is thrown in the air. Upon Annie catching it, it is her London accent that says "Nice catch" and Hallie's accent that says "Thanks". To be correct, it would have to be the other way around. (00:11:27)