Hivesand sinus infections that don’t get better

Patient: My daughers has been ill alot lately, we thought she allergies to antibotics but testing came back that she wasn’t. She also takes zrytec,nasonex,and singular but keeps getting sinus infections about every two weeks so then they put her antibotics she gets better and then it starts agin. She algo gets hives over night sometimes on her lips,check and chest. She also has had ertheyme mutliforme(target lesions all over the required going to the hostipal and during this her sides and back of legs were puple(vasculitsis)) She has also had a sed rate of 95 and a elevated crp as well

Doctor: