Revealing mistake: Jack and Elizabeth are marooned on the island, and he goes down the stairs to the cache of rum. From below, he lifts his right arm up holding a bottle of rum and we see the pirate brand. It's a CG brand, and in this shot, the pirate brand is crooked and off to the side. It doesn't look the same as the close-up when Norrington lifts Jack's sleeve in Port Royal, and it's not because of camera angle. Jack's sun and sparrow tattoo isn't where it's supposed to be either. At this point in filming, this 'tattoo' on his arm is not a real tattoo, it is only applied for specific shots, and make-up didn't apply it for this shot. (This has nothing to do with Depp's real tattoo that he supposedly got later, after filming.)
Picture added by Super Grover
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