From startrek.website.

The stardate is 2903.9. La’An might be preoccupied because of her discovery that her Augment genes are asserting themselves as seen last episode. Kirk’s last appearance was in SNW: “New Life and New Civilizations.”

The USS Griffin has the registry number NCC-1067 and appears to be a Constitution-class based on its configuration and crew complement of 300 (in contrast Enterprise has 203). Griffin disappeared “nine years ago”, which by my reckoning that the current year is 2263, places the disappearance around 2254, the same year as TOS: “The Cage”.

Previously the number NCC-1067-M was assigned to the seed vault ship USS Tikhov (DIS: “Die Trying”) in the 32nd century, and it was said there that the starship’s predecessors dated back to the 23rd century. It is not clear if the 1067 number was reassigned to Tikhov after Griffin’s loss or if this is a continuity error.

Griffin’s commander was Captain Taggert. In the affectionate parody Galaxy Quest, the captain of the fictional NSEA Protector was Peter Quincy Taggart.

Kirk claims he was a Boy Scout. In ST II, Carol Marcus says, “Jim Kirk was many things, but he was never a Boy Scout.” Kirk refers to his son, David Marcus. Admiral William Smillie is the name given in the novelization of ST IV to the Commander-in-Chief of Starfleet in 2293, who was unnamed on-screen.

The masks that the landing party are wearing more modern-looking version of those worn by the landing party in TOS: “The Squire of Gothos”.

La’An’s saying how it seems like everyone took a coffee break echoes stories of the abandoned ship Mary Celeste. Arthur Conan Doyle’s account of the mystery of the deserted ship (“J. Habakuk Jephson's Statement") embellished it with fictional details such as the presence of still-warm cups of coffee and uneaten meals laid out, which have become part of the folklore.

Division 12, which seems to be an X-Files-type branch of Starfleet, was first mentioned by Ortegas in SNW: “Terrarium”.

La’An mentions “the MLK”. The USS Martin Luther King Jr. was the ship that rescued La’An when she was cast adrift by the Gorn. Una Chin-Riley was an Ensign on that ship (SNW: “Strange New Worlds”).

A common belief among parapsychologists is that the presence of negative ions indicates the presence of ghosts. Kirk and Spock both appear to be familiar with this idea. With this, and the taking of ley lines and ancient astronauts as givens in“New Life” and SNW: “Through the Lens of Time” respectively, I’m pretty certain someone on the writing staff is into paranormal phenomena.

The body bag Spock picks up is labelled LT Ta’Arn, a Vulcan. It’s a bit dark so I can’t make out the serial number.

Kirk says that Carol has been approved for a “dream project”, which could refer to the Genesis Project. His noting that she fears for his safety in Starfleet echoes her dialogue in ST II where she tells him that she didn’t want David “chasing through the universe with his father.” LT George Samuel Kirk, Jr., however, is able to balance his Starfleet duties with his wife Aurelian and three sons (TOS: “Operation: Annihilate!”)… at least for now.

Of note in CMDR Rose Harper's file is that she was born in 6 February 2227 and is from Epsilon Delta V. The planet Epsilon Delta IV was featured in the 1979 novel Trek to Madworld by Stephen Goldin. She was valedictorian in her class at Starfleet Academy and served on the USS Exeter (TOS: "The Omega Glory"). There, she survived the Battle of Caprell and took over the ship when the captain and XO had been incapacitated.

While on Griffin Harper noticed crew members exhibiting erratic behaviour and informed medical and CPT Taggert. This included violent outbursts, self-harm and delusions, although the file notes these reports were unsubstantiated (signed by Dr G’Har). Harper then became more paranoid, was relieved of duty by Taggert and confined to quarters. 13 deaths by stabbing and 8 deaths by strangulation followed.

The…