Thanks for your query.
first of all i advise you to do proper follow up of your child at asthma
clinic,for proper asthma control.
i per my opinion salbutamol
should be use as reliever therapy and not as preventive therapy for long term control,in which long acting beta 2 agonist like salmeterol
is given along with inhalational corticocteroids,
Pinkish area under the eyes is allergic shiners which is usually seen in allergic rhinitis
Wishing your child good health.