Continuity mistake: Right at the beginning of the episode a Cadillac Escalade gets stolen. The car is the newest model. The chase begins and the car is a new model right up to a scene when they crash into some other cars. That part was filmed with older model Cadillac. The damage is quite severe, but the chase continues again with the new model that has only one bit of damage - a mirror that has come apart.
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.
Audio problem: At the end of the episode when Reddington goes to see Natalie Luca (behind glass), he tells her that the woman she killed at the massage parlour was an associate of his. When Natalie says "She said if I didn't kill him, she would tell Hawthorne where to find us", her lips don't match what she's saying in the reflection of the glass.