Need doctor's help! Will mouthwash help Fordyce spots on lips?

Not very likely. If the spots are fordyce granules, they are sebaceous glands that are a normal part of your anatomy, found in many people on the inner lips and the inside of your cheeks.
Not likely. Fordyce granules are actually minor sebaceous (or oil) glands. They are not pathological and are essentially harmless. No treatment is necessary. Unless they are unsightly there is no concern and cosmetics can cover them.