Thanks for your query.
I understand your concern.
treatment depends if it is dry or producrive in nature.
In case it is dry I suggest you to give combination of dextromethorphen with antiallergic.
In case of spasmodic cough bronchodilator
.will be needed.
Give steam inhalation and plenty of warm fluid.
For eyes clean them with cotton sterilised in boiling water.Clean from inside out and do it 2 to 3 times a day.
eye drops 2 drops in each eye 4 times a day.
In case symptoms persist get him re examined by doctor as physical examination will be required
Hope I have answered your query,let me know if you have anh further question I would be glad to help
Wishinh your baby good health