During the reception, Sisko mentions that they are trying to create "the galaxy's first artificial wormhole", but it has been established in previous episodes that the Bajoran wormhole is itself artificial.
This show really doesn't follow the ST:DS9 bible. It has well been established that when a Trill chances hosts it creates a new entity, different in personality, knowledge and beliefs. The Trill only influences the host, not dominate them. So while there is no problem with DAX, with a former host, being in love with KAHN from a former host, it makes no sense that JADZIA Dax, with her new personality, would still be in love with LENARA Kahn, with her own new personality.
Bashir explains to Kira that Trill symbionts must let go of their past in order to move on by letting go of past life relationships. However, a major series plot point is that Jadzia Dax is friends with Sisko, who was also friends with Dax's previous host, Curzon Dax, going so far as Sisko still calling Jadzia "old man".
When the Trill scientists come on board, Kira introduces Dax and Worf as "Commander Dax" and "Commander Worf". Both of them are lieutenant commanders, and while lieutenant commanders are frequently addressed as "Commander" for convenience, they are never introduced as such.
After Worf, who is standing to the left of the visitors, tells them to come with him and he will show them their quarters, they go to their right and start ahead of Worf without knowing where their quarters are.