Hi,
What is the color of the discolorations. You have mentioned these are red spots (is this correct?)
This may be a skin reaction to the lipstick or it could be a reaction to some unknown trigger. When have you noted this change?
Are the spots itchy and flaking?
Are your lips always dry or is this dryness more recent in onset?
A differential will be an allergic dermatitis or a contact dermatitis. Contact dermatitis may cause rednesss, scaling and itchiness over the area. This may be similar to an irritant dermatitis wherein dryness is evident. This skin condition is associated with dryness and redness and may need to be assessed by a dermatologist just to rule out an underlying infection.