1 month of coughing with white phlegm and a weeks of persistent running nose?

You might have an allergy like me. My GP prescribed me Amoxicillin 250mg 3 a day and some Cetirizine Hydrochloride 10mg 1 a day. Three days after starting this medicine I improved a great deal. It has practically cleared up now. So yes you need antibiotics and antihistamines. You can buy these drugs on the net if you cannot afford a doctor, that's if your from the usa. But you do have an infection.