Continuity mistake: On the way to the second shout at the council accommodation, the fire appliance shown is YHV 194T. Whilst this was the pump in the pilot and first series, for the second series, the appliances were GYW 627W and GYW 628W. (00:43:00)
Continuity mistake: During the petrol station fire, Hallam goes to rescue two attendants trapped in the station shop. The first external shot shows the inside of the shop on fire, but when it switches to the interior shot where Hallam tells them to run for it, there's no fire at all.
Continuity mistake: During the car chase scene, the car passes a petrol station and heads straight towards a bus. Then the next shot shows the car on a clear piece of road where the bus and petrol station have disappeared, but in the next shot the car swerves into the petrol station seen before. The car was going straight, without turning onto any side roads.
Continuity mistake: When Billy and Sicknote go upstairs after their encounter with Pitbull, they go upstairs to change into uniform. The camera follows them upstairs. The appliance bay has no other firefighters present. When the camera pans back down, a full roll-call is taking place in the appliance bay, including Billy and Sicknote who just went upstairs to change few seconds earlier. This was probably done intentionally but it sure does look ridiculous.