When the PT73 is going to and from the wedding (in the long shots) the American flag isn't on the mast behind the ship's operating area as it is shown in close ups.
When Binghamton meets McHale and Parker on the way to visit the crew in the brig, Parker calls Binghamton 'lead bottom'. Binghamton starts to get mad and has his hands behind his back. When the camera angle changes, Binghamton now has hands together in front of him.
When the eclipse starts the moon moves over the sun from right to left but when it starts to uncover it's moving left to right.