I believe so, yes. They certainly do not HAVE to check with the officer, but since the citation is the charging instrument, usually they notice the citing officer to amend the citation. Whether it is legally valid if simply changed by the court, I do not know. I know that DAs change arrest or requested charges all the time, whether the court can do this on a traffic cite I do not know ... I would think they can, but I do not have any spot on authoreity on that.
Of course, it might just as easily rendered the officer's motion irrelevant and could make THAT argument moot on its face.
The judge has to follow the law. Amending the citation on the fly at trial should not be allowed. However, if he was basing his decision on the fact that you had already been arraigned on the correct charge, the judge may not have made any error.
Maybe. I have no real experience with appeals. Others here do.