Continuity mistake: When Dayna and Tarrant find Keeler unconscious, Tarrant's teleport bracelet disappears between shots. It's back a few shots later, though. (00:15:40 - 00:16:10)
Continuity mistake: Tarrant beams down to the refinery complex and back again without a teleport bracelet.
Revealing mistake: Avon and Soolin hide from the processing plant guards in an alcove, but Avon's black-booted foot is sticking out in plain sight. Fortunately, the guards don't seem to notice and walk on by anyway. (00:18:00)
Continuity mistake: After revealing Avon & Soolin are still alive, there is no magazine in Avon's gun.
Continuity mistake: Dayna plants the grenade by the right-hand upright of the ladder. Yet when it detonates you can see the blast is to the left and in front of the guard; presumably to prevent it from going off right in the stuntman's face.
Continuity mistake: When they shoot open the crate containing the gold, Avon is on the left & Keeler on the right. Avon fires and we see the right-hand lock explode, then Keeler shoots and the left-hand lock pops.
Character mistake: The first time they go into the hold, Avon calls Keeler "Kilo"