When Charlotte meets "Jeremiah" on the east balcony, the scene starts and ends with the candle at least 2/3 full. For a moment in the middle, it's much shorter.
At 1h11m35s Basil says "Jefferson has completed the Declaration, it's to be read to Congress in the morning, then voted on." The declaration of independence was VOTED ON on the 2nd July, a day BEFORE the Mayoral Ball. It WAS read to Congress on the 4th, and got its FIRST signature (John Hancock), but the rest of the signatures (54) were applied over the next few days, before it was read to the public on the 8th July.
Main character looks down at a newspaper at 12:05 and its has TWO date - September 10, 1775 and November 1943.
In the 18th Century, men did not wear beards (the exception being some Russians). The upper and middle class gentleman would always be clean-shaven. The poor/laborer classes would only be shaved two or three times a week. Many German soldiers wore mustaches, but neither French nor British (and the colonists were still British) would have worn either mustaches or beards.
At the film's end, Benjamin Franklin checks his pocket watch and its second hand is incrementing in the manner of an electronic quartz movement rather than the smooth manual movement of those times. The quartz watch movement was still 200 years away from invention.