Your 11 year old daughter has several allergies which are worsening her asthma and therefore the asthma management plan needs to be reviewed by the Chest Physician or your local Asthma Nurse.
She will require combined inhalers and montelukast
depending on the months when the asthma control worsens.
The rash may be related to animal contact if you have pets otherwise may be urticaria
that should resolve with long acting antihistamines like allegra and cetirizine
combined for 4 weeks - 6 weeks. Please ensure that there is nothing like a contact allergy
that she can avoid which will obviously help.