Type 1 diabetic severe cough, expectorant green, started out 72 hrs ago with head & sinus pain, runny nose, then bad sore throat, then heavy painful chest. Now cough... Treated with NyQuil at first sign of sore throat, but now Mucinex DM & Sudafed sinus. Symptoms seem a little better. Should I treat with Antibiotics. Have not had flu shot yet