I would not change the dial. I'm pretty sure that the alarm disc cannot be cleaned totally, hazarding its blue color.
But there are other components which could improve the look of your watch. The hour and minute hands would benefit from a polish. Should they lose their lume during this procedure, the new lume could match the yellow freckles (the hands on my watch have this greenish lume, too). In my eyes, the white seconds hand stands out too much against the face. A polished steel needle as on my watch would look better.
Good luck!
Mick