DS9 is my favourite out of all the various incarnations of Star Trek. I have seen all the episodes countless times and can answer most questions about the show. But your question has stumped me!
When you say Jake and Rom, I assume you are actually referring to Jake and Nog. I don't think Jake and Rom had much interaction on the station.
The closest example of the storyline you described is from the season six episode "Valiant". Here is a brief synopsis from the Star Trek Wikipedia site:
In 2374, Jake and Nog were attacked by a Jem'Hadar ship and rescued by the USS Valiant, manned and captained by the Red Squad. The ship was originally on a training mission, but became trapped in Dominion space at the outbreak of the war. Although Nog immediately hit it off with the crew, Jake had reservations. The captain of the ship decided to carry out the original mission, and obtained information on a new Jem'Hadar battleship. They are able to complete their mission, but then the crew decided to attack the ship. Jake believed that this was a suicide mission. Captain Watters had Jake arrested and put in the brig. The Valiant was destroyed in the attack, with all hands killed except for Jake, Nog, and one crewman, who escaped and were rescued by the Defiant.
Hope this helps
