Factual error: Sir John Franklin's wife is consistently addressed and referred to as Lady Jane. Since she only held a title due to her husband's knighthood and not in her own right, she was actually Lady Franklin. Nobody in the circles in which she moved would have addressed or referred to her as Lady Jane.
Factual error: Sir John Franklin, Francis Crozier and James Fitzjames all wear a crown over an anchor on their epaulettes, the rank badge for a captain with over three years in rank. This is correct for Franklin and Crozier, but Fitzjames only held the rank of commander, and should therefore only be wearing an anchor on his epaulettes.