At 1:10 during the Bakshi Report, there is a square of the screen for an "In Memoriam, John Garrett, American Hero." This episode aired (April 25, 2017) exactly two months after Bill Paxton, the actor who'd played John Garrett, passed away (February 25, 2017).
The elevator that Daisy uses her powers to shove Madame Hydra out of is the same elevator where Steve Rogers fights Brock Rumlow and the SHIELD strike team in Captain America: The Winter Soldier (2014).
The comments that Bakshi says to the woman about taking her furniture shopping are clearly referencing the infamous real-life leak of 2005 Access Hollywood footage in which newly married Donald Trump can be heard telling host Billy Bush about his attempt to seduce a married woman by taking her furniture shopping.
The title is a play on a line from a nursery rhyme Humpty Dumpty "All the king's horses and all the king's men couldn't put Humpty together again."