Continuity mistake: In his scuffle with Servalan's trooper, Vila's teleport bracelet falls off and rolls away. We're even shown a close-up of it as it comes to rest near the dropped gun. Yet in the very next shot, as the fight continues, the bracelet is back on Vila's wrist.
Continuity mistake: Dayna's outfit is skin-tight and she's not carrying any sort of backpack. So just where was she hiding that rather large robotic bomb she sends down the hall to blow up Bayban's goons? (The pack on her belt isn't a storage pouch - it's the Liberator handgun's power unit. Note that Avon, Tarrant and Cally wear identical packs, with the guns plugged into them. And it isn't large enough to hold the mobile bomb anyway, not even disassembled.)
Continuity mistake: When Dayna & Tarrant are "bonding" they are not wearing their gun belts. Yet the shot of them running down a corridor immediately after escaping shows Dayna has hers on. In the next scene, it's gone again. Later Avon & Tarrant recover three gun belts from the control room.