Continuity mistake: Solo picks up a book, The History of Pacifism, and shows it to Illya, holding it at the bottom. Cut to a close-up insert and his fingers have instantly migrated up to the middle of the book. Cut back to the wider shot, and he's no longer holding the book at all. It's back on the table.
Factual error: The jailed student protestors are dancing in their cell to a jazzy tune. But they have no radio or record player - just one guy with a guitar. They seem to have conjured the accompanying saxophone, jazz clarinets and percussion section out of thin air.