Ruth: So this is the ship they say is unsinkable.
Cal Hockley: It is unsinkable. God himself could not sink this ship.
At the end when Rose is lying on the wooden door she is looking at the sky singing "come Josephine..." When you look hard you see that the stars in the sky are symmetrical. You can actually draw a line in it. [That is not exactly the case. If you look VERY carefully (this is much more effective on a big screen), you can see that the stars form the outline of the famous necklace, The Heart of the Ocean. I guess Cameron was a little bored that day.] See more...
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Audio problem: During the scene where Jack and Rose are walking around the ship and talking and Rose is telling him about her upcoming fears about the wedding, a frontal camera shot on Jack shows him asking her "It's a simple question, do you love the guy or not?". Jack finishes his sentence here, but about a second later, a rear camera shot of Jack (now also facing Rose) shows that his jawline and lips are moving and finishing the words "or not".
Deliberate "mistake": Even though the movie uses the correct number of rockets, the timing is awful. The last rocket was fired at 1:40 AM at the latest. In the movie, the last rocket is fired when the last boat to be lowered on the davits leaves (the one Rose gets, and jumps off of). This would make it 2:05 in James Cameron's Titanic time. It was probably changed to add more drama to that heart-throbbing scene...
Factual error: Jack (Leonardo DiCaprio) was handcuffed with old English Hiatt's Darby Handcuffs (type 104). This is historically correct. But the key for these handcuffs identifies them as modern reproductions, because it had a flat top and was "checkered". The old keys had an oval and smooth (only marked with "Hiatt" and a number) top. The handcuffs used in the film were not from 1912.