Jane gives Lisbon an origami figure, just as he did in the pilot episode.
When Patrick Jane(Simon Baker ) tells Marcus Pike (Pedro Pascal) "The beard looks good" and Pedro Pascal says that it's for an undercover operation, it's a reference to his role in Narcos the show he's in where he has a beard and he's an undercover DEA agent.
Rockmund Dunbar, who plays Abbot, lost a noticeable amount of weight between seasons. Which makes no sense to the timeline between the last episode of season 6 and this episode.