Not picking up where it was stopped may occur, and this is normal operating conditions. While DVD players were able to pick up where they left off in the past, the technology doesn't always hold a place where units were stopped. The technology is different than what people have come to expect with DVD players.

The best advice I can give would be to pause the movie, or check the chapter before powering off so you can go back to the chapter in the movie where you left off.