Philip Hamilton wasn't shot before 10 paces, for a minute both Philip and Eacker stood and refused to shoot.
"Philip took his father's advice, and refused to raise his pistol to fire after he and Eacker had counted ten paces and faced each other. Eacker, following suit, did not shoot either. For the first minute, both men stood, doing nothing, both refusing to shoot. After a minute, Eacker finally raised his pistol, and Philip did the same. Eacker shot and struck Philip above his right hip. The bullet went through his body and lodged in his left arm. In what may have been an involuntary spasm, Philip also fired his pistol before he hit the ground, but this bullet did nothing."
"Philip took his father's advice, and refused to raise his pistol to fire after he and Eacker had counted ten paces and faced each other. Eacker, following suit, did not shoot either. For the first minute, both men stood, doing nothing, both refusing to shoot. After a minute, Eacker finally raised his pistol, and Philip did the same. Eacker shot and struck Philip above his right hip. The bullet went through his body and lodged in his left arm. In what may have been an involuntary spasm, Philip also fired his pistol before he hit the ground, but this bullet did nothing."
Hamilton was not fired from his position at the Treasury by John Adams; he resigned in 1795, two years before Adams took office.
The song of Lee at the Battle of Monmouth says one thousand soldiers died in 100 degree heat. This is false, though it could be an artistic decision. The casualties figures for the battle were, British General Clinton suffered 65 killed by enemy action, 59 died from the heat, 170 were wounded, and 64 were missing. Colonial casualties were 69 killed, 161 wounded, and 140 missing.
Aaron Burr was not refused as vice president by Thomas Jefferson. He served from 1801-1805, but was replaced by George Clinton ahead of Jefferson's second term.
After Hamilton publicizes the details of his affair with Maria Reynolds, he's taunted that the ensuing scandal damaged his reputation enough to prevent him from ever being elected President. But even if Hamilton had had such political aspirations, as a foreign immigrant, he would already be constitutionally ineligible for election to that office.
In "Satisfied", Angelica has a flower on her neckline from some angles and the flower is missing in other shots.
In one camera angle during "It's Quiet Uptown" Eliza's hair has fallen over her right shoulder. In a quick cut to another camera during the same phrase Eliza's hair is pulled back behind her shoulder, indicating editing from multiple shows.
In 'Helpless', when wooing Eliza, Hamilton says "I don't have a dollar to my name" - the dollar was not introduced until 1792, twelve years after Hamilton wed Eliza in 1780.
Alexander Hamilton is depicted as having come to the United States in 1776; he came in 1773.