Character mistake: After Elizabeth and Alexander Kirk crash-land into the Gulf of Mexico (technically, the Straits of Florida), Lizzie gets on the radio to report mayday, along with their coordinates. She incorrectly states their position with the following statement: "Mayday, mayday. Plane down off the coast of Havana. 23 degrees, 52 minutes north, 82 degrees, 49 minutes south. Mayday, mayday, mayday." Those coordinates specify two different latitudes (one above the equator, and one below), but no longitude! Luckily, she DID say they were off the coast of Havana, so the Coast Guard would be able to deduce the correct coordinates of 23' 52" north, 82' 49" west (not south!).
Other mistake: It shows an eagle eye view of the downed plane with the pontoons floating separate from the plane; the plane starts to sink more and agent Keane incorrectly says that one of the pontoons is taking on more water, even though they aren't attached to the plane and keeping it afloat anymore.