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.
Suggested correction: Probably air tanks, because oxygen tanks are always painted green. Both kinds of tank are very tough. Hard to tell with how much force the plane debris might have landed except that the truck still looks pretty much intact. However, if the plot required it, I would find it completely believable that the crash could have exploded the tanks, but also don't find it strange that they didn't explode.