Trivia: In the scene where Kira and Dr. Bashir are talking, she points to her pregnant stomach and says "This is all your fault, you know" referencing that Bashir was the one who transplanted Keiko's baby into Kira. This is an inside joke, because in reality Alexander Siddig and Nana Visitor were an item, and Siddig was indeed the father of her baby.
Trials and Tribble-ations - S5-E6
Trivia: When the agents ask Sisko which Enterprise ship, he says "the first one." One agent also responds with there's been 6 Enterprises. However, in the 2001 TV series "Star Trek: Enterprise", we learn there was an Enterprise before the "first" one. And (as of 2020), there have been 8, or possibly 9, Enterprise ships. (I have listed this a trivia since at the time of the show it wouldn't have been a mistake. But one could argue this is a mistake or that the TV series ST:E made a mistake, since it's been established TOS Enterprise was the first ship with that name).
Trials and Tribble-ations - S5-E6
Trivia: In this episode, Sisko, Dax, Bashir, and O'Brien are talking about the amount of Tribbles, and Dax gives the total as 1,771,561, and the explanation behind the total. The conversation was an exact copy of the one between Lurry, Kirk and Spock in the original episode "The Trouble With Tribbles" (TOS, S2: E15).
Chosen answer: No. He's given his name, that's all. Nothing there that might lead to a paradox. If he's gone into detail about his time travelling, that might cause an issue or two, but simply stating his name does nothing.
Tailkinker ★