When Mal and Saffron are running from the authorities, they leave the Bellerophon Estates through a door which uses a crash bar to exit. However, when the guards arrive to that door, it has changed color and the door hardware is now a lever-style handle.
After the fight in the beginning with Saffron, Reynolds' nosebleed disappears and reappears between shots.
The port side shuttle is visible in Serenity's port (left) docking bay when both shuttles have left the ship.
During the attempt to reprogram the waste disposal unit, the first shot of the computer screen shows a Microsoft Windows desktop.
So what. Microsoft Windows is the operating system for the waste disposal unit. Not a goof.
So what. Microsoft Windows is the operating system for the waste disposal unit. Not a goof.
In the opening scene, the time is day. Then the scene shifts to Seventy Two Hours Earlier, which becomes night, on a different planet.
In the opening sequence Malcolm Reynolds and Saffron brawl. At the end Saffron says something of the order that "Malcolm Reynolds is a liar." At which point Monte says "I never told you his name." Implying that this evidence proves Saffron is lying and up to some antics. However by Malcolm and Saffron's initial reactions showed that they had been acquainted and it would be quite possible they knew each other's names. However, at that point the argument could still have been made that Saffron only pulled her gun on Mal because he did it to her. By then denying Mal's story and pretending not to know him at all, she gave herself away when she used his name.
When Simon gives Jayne a shot, you can see the fake needle retract into the syringe.