There are Cardassian containers in the cargo bay. This takes place after Cardassia joins the Dominion. It's unlikely that these crates would still be shipped to a Federation station.
While Odo is talking to Arissa in his quarters, as the camera zooms in during Arissa's story about her life on Finnea, through the window you can clearly see the edge of the star-field screen and the floor it's resting on.
Odo takes Arissa to her quarters and after entering they both transport to his quarters to throw off anyone keeping track of Arissa's whereabouts. When Odo left he exited through the doors of his quarters instead of transporting back to Arissa's quarters and leaving from that location. Odo prides himself on being very thorough and he would not have wanted to raise suspicions of anyone keeping track of his and Arissa's location.