Monocef would not be beneficial because coughing with eosinophilia (15%) frequently indicates allergy, asthma, or a parasite etiology rather than a bacterial infection. You should consult a physician for an assessment since, depending on the cause, you might require deworming, inhalers, or anti-allergy medications. If your cough or breathing problems don't go away, visit a doctor. Don't take any further antibiotics without a prescription.