Luke calls the damaged droid an R2 unit, though Star Wars lore names that particular droid R5-D4.
When Owen claims that Obi-Wan died about the same time as Luke's father, Luke assumes, for some reason, that this means the two knew each other.
Threepio moves after he powers down.
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When Tarkin discovers that Princess Leia has lied to him about the location of the Rebel Base, he angrily orders Darth Vader to terminate her immediately. Obviously, Vader never complies. He later comments that she may yet be of use. This must be some new definition of the word "immediately."
"Only Imperial Stormtroopers are so precise" with blaster fire, says Ben Kenobi. Only, Troopers aren't all that precise during the rest of the film. In fact, they miss our heroes quite often.
