For cold you can give syp cetrigine 3 ml once at night for 5 days,
Regarding cough, most likely it is due to post nasal drip, for this use nasal saline drops 3 times a day, steam inhalation, nasal decongestant drops like otrivin pediatric nose drops 3 times a day for 5 days.
As child active, playful, no need to worry much about cough as it is not disturbing his daily activities.
Health Tips
if still not useful, please consult a pediatrician