My baby is having cold(so much phlegm to deal with) for the first time and he is coughing sparingly…

My baby is having cold(so much phlegm to deal with) for the first time and he is coughing sparingly too. I use hydrasense mist, suction bulb and vicks baby rub but its day 3 and i am just wondering if there is anything more i should be doing to help him get better fast. Laying flat is a 'no no' now, so i get to lay him inclined for naps and night sleeps.i have hardly had an hour straight sleep in the past few days :(