Continuity mistake: When the crew do their EVA they start out standing "upside down" on the hull of the rocket with sunlight from the left. They then travel around the hull 180 degrees, an as they do the Sun is suddenly on the right. (00:50:40)
Continuity mistake: During the in-transit EVA, there's an "over-the-shoulder" shot of the rocket pointing towards the distant Moon. The ship is lit from the right, but the Moon is lit from the left. (00:54:30)