What infection/sickness do i have?

When there is phlegm in your chest and you breath, the phlegm tickles the hairs in your lungs and gives you that tickle in your throat and the urge to cough..it's the body's way of getting that stuff out. It is most likely just some congestion loosening up from your cold. Doesn't sound serious, but if you run a fever..get chest pain or difficulty in breathing call the Dr. You could take an expectorant cough syrup to loosen more up and get it out of there. Keep coughing when you have the urge, mucous sitting in the lungs can develop into an infection, but it isn't likely with a common cold in a healthy person. Sounds like you will be fine.