It seems either the wax was too hot or the skin was not stretched properly while waxing the area. Apply a steroid
antibiotic cream atleast two times over those brown patches as well as red peeling areas and use a mild cream like cetaphil
over your arms. It would take few days for the concerned areas to heal. If the lesions heal with pigmentation, you might need to consult a dermatologist
. Next time be sure that waxing is done by a well experienced staff. Take care.