12 week old baby. Runny/stuffy nose, wet cough. Giving Prospan, Illiadin jr, calpol, vicks jr rub. Is this sufficient to prevent hospitalization?

Might make it worse. At that age they are more sensitive to environmental irritants like dust or fumes which trigger nasal congestion & cough. Cough medicines are worthless. Vicks produces fumes which often makes it worse. A good nasal wash out with saline and removing irritants works best. .