Other mistake: Stoker prematurely plots 617 Kimble Road on the map as the dispatcher is barely starting to say the address. Then the squad leads in the departure from the station, but when the squad arrives to the above dispatched location the engine is already finished with the dumpster fire.
Other mistake: When the plane crashes into the neighborhood and traps Gage and DeSoto in the house, you see outside shots of the squad when the other two paramedics arrive. You can see a large piece of smoking engine/plane laying on the back end of the squad, right over the spare air tanks. They would have exploded when something that heavy and hot landed on them, since they are filled with oxygen. The tanks would be full or they would not be on the back of the squad.