When Picard is dragged from the crashed shuttle, the camera pans to the shadow of the person dragging him, which clearly shows someone simply walking backwards with empty hands outstretched. The figure casting the shadow isn't dragging Picard.
When "Anna" locks Picard inside the freighter, the handle turns, supposedly locking him in. Picard tries to get out, but never touches the handle.
During the poker game, Worf claims that two of his chips have been stolen, but we can see that the ambassador has taken three chips.