The lifeboats are marked "S.S. Titanic." Contemporary photos of the life rafts being dropped off at the White Star pier in New York are marked "RMS" Titanic.
Collapsible A was not flipped upside down as depicted in the film, it was Collapsible B that was flipped upside down, also, Collapsible B was on the port side of the Titanic.
The distress flare rockets were not fired towards the stern of Titanic.