The syringe that Inara has is not to commit suicide. Inara was dying and this was simply her medication. This has been told by Joss Whedon himself in multiple interviews.
A passenger log on a computer screen is seen briefly. The entry on the screen reads as: "Passenger 4352 - Schultz, Sharon I received a communication regarding the shipment and have been apprised of the situation awaiting us upon arrival at the docking bay as well. I have been assured that every precaution has been taken to insure the safe arrival and expedient dispersion of said materials. All is under control. Will contact representative upon arrival. Passenger 4399 - Robinson, Johann Today, my darling, for the first time I regret embarking on this journey"
Alan Tudyk ad-libbed his entire interrogation scene, as shown in a segment from the extended blooper reel.
During the "basketball" game in the opening scene, Jayne has a bandage on his leg from injuries sustained in the previous episode, The Train Job (2002).