Commander Sisko asks the station computer to locate his son Jake, which it does. However, in S1E2, the computer cannot locate Major Kira because her com badge had been removed. Jake is not wearing a com badge, nor would he as he is not an officer.
Odo should never have been able to get through the airlock door on Zek's ship. It's been shown that Odo can get through the cracks in doors by reverting to his liquid state. However an airlock has an air tight seal, there would be no "crack" for Odo to slip through.
Benjamin Sisko finds his son Jake is secretly teaching the Ferengi Nog. One of the facts Nog recites is that Bajor is the largest planet in its system, and that it has three moons, to which Jake agrees. Bajor, however, is said to have five moons. For example, later in the first season, "Progress" features a story line about a drilling operation on Bajor's fifth moon named Jeraddo.