Hi welcome to the health care magic Your eosinophil count is within limit and ESR is slightly high ESR is non specific and can be raised because of inflammation as well You might have bronchitis leading cough Your work up done with... -Auscultation -x ray only if needed If cough more than three week than sputum examination and x ray better to be done Avoid smoking and excess spicy foods One tsp turmeric powder with milk taken daily If needed for dry cough (not improvement by antihistaminic syrup) than dextromethorphan like cough suppresent can be prescribed According to cause specific treatment given Take care Consult pulmonologoist for examination