Hi, I had gone through your question and understand your concerns. Rubbing of ears is normal for babies, for this some emollient cream can be applied externally to decrease irritation or dryness. Wax formation is normal protective mechanism for ear , it need not bee removed unless there is hearing problem or ear needs to be examined .Crying at touching of ear indicates otitis externa ( infection) which needs a course of antibiotic to resolve. In absence of obvious cold symptoms like running nose or cough it is unlikely to be due to cold . Augmentin is not required for treatment of wax, prescribing augmentin indicates that ENT doctor has kept the possibility of otitis externa . In my practice i usually treat otitis externa with amoxyclav group of antibiotics ( augmentin ) with painkiller . Wax clearance unless it is hard or impacted or for examination of ear cavity is not required. Hope this answers your question. If you have additional questions then please do not hesitate in writing to us. *Always check for history of allergy before taking any medicine. Take care. • DISCLAIMER: - All the information provided here is for information purpose only , it is not a substitute for the advice of a physician after physical examination , it is not intended to replace your relationship with your doctor. This information in no way establishes a doctor-patient relationship. Before acting anything based on this information do consult your doctor. I recommend that online users seek the advice of a physician who can perform an in-person physical examination