Continuity mistake: Sherman helps Louise put on her uniform from the back, but the zipper is in the front. When she turns around, no seams/zippers/etc. appear on the back of the uniform. This takes place just as she gets out of the shower.
Continuity mistake: The first time Kris Kristofferson is listening to the cockpit recording, Louise interrupts him during the part where the crew is screaming that the crew "is all burned up" and so on. The next time she goes back in time to repeat the action, she interrupts him much earlier in the tape. This can't be, as explained by the Paradox Theory in the movie itself.