The "previously on" is read by Mick Rory who closes with "Who writes this crap anyway?" in a classic breaking of the fourth wall.
Mick's advice to Washington on fighting dirty references the historical opinion that the Revolutionary War was won more through the use of hit-and-run guerrilla tactics than traditional or "gentlemanly" forms of warfare.
When Ray Palmer is in the ventilation system, he's actually whistling the theme to DC's Legends of Tomorrow (2016).
Lieutenant General Cornwallis, or Charles Cornwallis, was a British soldier and statesman, known for his defeat at Yorktown, Virginia, in the last important campaign of the American Revolution. Later, he was appointed British governor-general of India (1786-93, 1805) where he died.
A proper British officer would have used "hanged" instead of "hung" since they hanged people a lot in those days and "hung" isn't correct.