As Fogg runs into the Reform Club, Bellamy is seen counting down the seconds using a silver pocket watch, without a chain or lid. As Fogg enters and Bellamy realises the wager is lost, Bellamy closes a lid over a gold pocket watch, with a chain into his waistcoat pocket.
As the protagonists run away from the Reform Club, Abigail Fix is on Fogg's left and Jean Passepartout is on Fogg's right. The final cut as they walk towards the camera, Passepartout and Fix are on opposite sides.
As Fix and Passepartout are at the railing on the Henrietta, the Brooklyn Bridge is shown behind them being built -- with the roadway partially constructed across the river. However, this is 1872, and the cables for the bridge were not even begun until 1877.
The steamer is seen going from left to right across the North Atlantic, with the moon in the background. The moon is always in the south from the North Atlantic, so left to right corresponds to east to west. But the ship would have been sailing west to east to go from the USA to England.
While accurate to the original Jules Verne novel, it seems highly unlikely that Phileas Fogg and his travel companions completed the entire second half of their journey without ever once learning the date. In particular, with Abigail being a journalist, it's hard to believe that she of all people would never once have looked at a newspaper in that time, nor that none of them would ever have so much as overheard anyone mention what day it was.