On Sunday, May 23rd, 1819, all of our people embarked..." "Our people?" But they went on board themselves, not just some other people that belong to them. So he'd better say "travelling party". No, "the men under my command". But that was also wrong, since the phrase didn't include him, and he had installed himself on the Prince of Wales at the same time. "I and the men" pleased him as little as "the men and I". "We embarked in full number" was inaccurate; the "entire party including my own person" discouraged reading. "On Sunday, May 23rd, 1819, our entire party led by me embarked..." - Well, now what?
