Some would say that it would be inappropriate for Vedek Bareil to invite Kira (or any woman) to a monastery. A monastery is, by definition, a place where men can be free of the distractions women provide for men. However, this takes place in the Bajoran culture. As such, a monastery there is a different type of religious retreat, and the genders are free to mix. Even Vedek Winn was there.
Prior to interrogating Kira Nerys, Minister Jaro Essa sits on a boulder, and it can be seen moving appreciably.
When Kira friends arrive one by one to her quarters to say goodbye, she is not wearing her uniform jacket. On her right upper arm is a smallpox vaccination scar, which is only seen on the arms of Earth people who received the vaccination before 1972.
Previously, it's revealed that the most a runabout can beam is two people simultaneously. However, in this episode, several people are beamed to the Circle headquarters and back out from a runabout.