The notion of the Titanic as "unsinkable" did not manifest until after the sinking.
The deck of the Carpathia was not strewn with corpses. Most of the bodies were recovered by the Mackay-Bennett and Minia, which White Star chartered for that purpose.
Once arrived in New York, Mrs Astor says that John's sons had come to collect her.
John Jacob Astor only had one son aged 21 at the time of his death. His other child was a daughter aged 10.