Yes, my mistake, it's the tailpiece I was referring to that has the clear coat, not the bridge. That's what I needed to know, if it was ok to remove this coating and then address the brass underneath.
Regarding the nut, can I safely remove it to buff or should I avoid that?
And the lemon oil on neck, do I take any precaution about the position markers (mother of pearl?) or will it not hurt them? The frets are in very nice shape.
Thanks for the advice.