Factual error: Jane Russell and others say several times that they are sailing from New York to Paris. They might have been sailing to Cherbourg or Le Havre, but they couldn't have been sailing to Paris. The producer seems to assume that if they referred to Le Havre or Cherbourg, viewers wouldn't be able to sort it out.
Factual error: The "Olympic team" sailing on the ship consists of approximately 18 men. The actual 1952 US Olympic team consisted of 286 competitors (245 men and 41 women), plus a large number of coaches, trainers, and so on.