Corrected entry: After getting Ecto 1 out of the police station they have the lights and siren on. The next shot it's off, then on again right after that.
Correction: Yes, probably because the vehicle is still in bad shape and everything on it is not working properly.
Corrected entry: Spoiler: Everything goes well in the end and all the ghosts (and returning demigod Gozer) are sucked into a giant ghost trap. In fact everything goes so well that the trap selectively spares one specific ghost so it can have a lengthy farewell scene, hug and smooch every single character at leisure and leave on its own terms.
Correction: The other ghosts were above the traps. The one specific ghost was not. Every time a ghost has been trapped they have been above the trap. In the first movie they even have to move Slimer to position him to be trapped.
This trap cluster was designed to cover an area, If Gozer could get away simply because he/she was standing one foot to the right or left of the nearest trap, the plan was flawed to begin with.
Even if Gozer stepped away from the traps, the Ghostbusters could simply wrangle her into the traps with their proton packs.
Correction: That particular ghost was not standing near the traps. Granted, the traps pull in the ghosts floating over the farm, but those spirits were in direct line with the trap laser beams, that ghost you reference was standing safely away.
Corrected entry: A jaded Ray Stantz tells Phoebe on the phone that the old Ghostbusters' HQ was turned into a Starbucks. However, the post-credits scene shows the old building untouched.
Correction: This isn't a continuous shot though. After they come out of the garage area, the next shot is of them driving down a dirt road. Then the next shot is of them crossing a bridge.
Bishop73