Continuity mistake: In the scene where the old oriental woman is taking Chelios' temperature the sheet is low enough that you can plainly see the battery pack sitting on his stomach. As she walks out two guys come in to check on him and they have to pull the sheet back to reveal the battery pack.
Continuity mistake: When Eve pushes Chev down the stairs at the horse track, we can see there are more seats underneath them. But they fall over the side and onto the track (close to the wall). In the next few shots they start to have sex, and when the camera pans out they are in the middle of the horse track without ever getting up.