I saw a few weeks ago something interesting, was going to post here, forgot, then got completely sidetracked.
The thought of having the Ghost logo making a 2 with its fingers. Does that break the 4th wall of it being a sequel, since they have it plastered on the car and building.
I saw a theory, I believe from Reddit, where someone had a cool, what if, idea. And that is, what if, now that the Ghostbusters are officially back in business, fighting ghosts again, that something like a TV channel were helping sponsor them, and happens to be, Channel 2.
Of course the movie never says that, so mostly just a fan thought, but, one that could work in a way, so to help out their sponsor, they put a 2, on everything....but over the years, like with anything, that sponsorship ends, so they end up just going back to their original logo.
I'd say thats at least better than making it feel like a sequel, since for them, its not a movie.
As far as fixing up stuff in the actual movie, sure, why not.
Despite its flaws, I enjoy the movie. Some cool songs, like the higher and higher with the Statue of Liberty scene.
I kind of wish they had used the Statue to help fight the bad guy, not just break into the top of the building. But, that might have been more tricky in 1989....I sure they were already pushing the limits with some of those effects.