To many error's I think, my favourite is When Rose is arriving in New York, she looks at the Statue of Liberty, which is the same colour as now (green). But if you visit the statue of liberty, which I did on tuesday you'll find a plate telling you that the original color was brown, and it took over 35 years for it to change colour. The statue of liberty was placed there in 1886, so in 1912 it should have still been at least partly brown. Also, the flame was replaced in 1986 with a gold flame. The film shows the Statue holding a torch with a gold flame, not the original.

just one of many,