• ”Have you noticed their references are weirdly specific?” Number One is also concerned about my going way over the character limit on this post.”
• Boimler power walks away after being startled by Number One. He claimed that power walking is more efficient in “Envoys”. Apparently Section 31 does it.
• Mariner tells Uhura that while she’s known for being a super-translating space adventurer in the future, part of that reputation is that she’s carefree. In episodes like “Charlie X” and “The Man Trap” we see Uhura singing in the recreation room, and flirting with Spock.
• Mariner performs the Picard Maneuver when standing up.
• On her PADD, Uhura is looking at examples of the Bajoran and Cardassian alphabets, which are labeled as such. This is the first indication that the Federation had made contact with either civilization prior to the TNG era.
• There is a comatose Cardassian being held by the automated shipyard in “Dead Stop”, but no one actually really sees him.
• Starbase Earhart was first mentioned in “The Samaritan Snare” when Captain Picard tells Wesley the story of his being stabbed through the heart by a Nausican, and we first see the base in “Tapestry” when Q sends Picard’s consciousness back through time to that event.
• “Tapestry” is also the first mention of dom-jot.
• Mariner describes dom-jot as “A billiards game that Nausicans are terrible at, but love to bet on for some reason.” We see Mariner playing dom-jot against Nausicans at Starbase Earhart in “We’ll Always Have Tom Paris”.
• Pelia and Boimler share a moment staring at the warp core. Boimler has a long established history of being a fan of warp cores, going back to his first episode, “Second Contact”.
• Pelia’s quote, “I always pretended to be someone I wanted to be, until finally I became that someone…or he became me,”* is paraphrasing Cary Grant.
• ”Don’t yell Q, they haven’t met him yet.” Q first reveals himself in “Encounter at Farpoint”
• ”They had kind of a Trelene thing going on.” Trelene appears in “The Squire of Gothos” and, so far no where else.
• The Enterprise crew starts expressing enthusiasm for the past, specifically the NX-01.
• Pike mentions that he would be excited to set foot on Archer’s Enterprise. In “These Are the Voyages…” we learn that he is the one who wrote the parameters for a popular holo-simulation where the user plays the role of the NX-01’s chef.
• La’an says she loves grapplers, which first appeared in the ENT premiere, “Broken Bow”.
• Ortegas claims, ”I’m a huge fan of Travis Mayweather. First pilot of the NX-01*.” Presumably there had to be at least one.
• Uhura mentions Hoshi Sato having spoken 86 languages. In “Two Days and Two Nights” it’s established that Hoshi learned 38 languages before having left Earth, and that she knows ”about 40” as of that episode.
• I believe this is the first time the Fleet Museum is referred to as the Starfleet History Museum, but both locations have the NX-01, as per “The Bounty”.
• We learn that Number One is featured on a Starfleet recruitment poster, including the words “Ad Astra per Aspera” which was the motto of the United Earth Starfleet and, we learn, of personal importance to Number one in the episode “Ad Astra per Aspera”.
• The poster featuring Number One was not seen among the recruitment material Mariner and Boimler took when they set up their booth on Tulgana IV in “Reflections”.
• It was established that Tendi is the Mistress of the Winter Constellations in “We’ll Always Have Tom Paris”.
• It’s Jack Ransom! From Star Trek! Ransom is voiced by Jerry O’Connell.
• “Oh, Numero Una, hottest first officer in Starfleet history.” Rebecca Romijn and Jerry O’Connell are married.
• Drinking the Orion delaq causes the Enterprise crew to experience visual hallucinations similar to what Mariner, and Boimler went through after being exposed to nitrous oxide in “Room for Growth”. Tendi was immune.
I don't know what you mean, I think Frakes did a great job directing those episodes.