I Have A Cough Left Over From A Bad Cold

I have a cough left over from a bad cold that I had a little over a month ago. Was getting a good amount of mucus but now very little. I am having some mild discomfort in my chest especially when I am coughing. I have had some rapid pulse over the last 3 or 4 days, but only last for a few minutes and only about 1 time a day and not consistently every day. Are these symptoms of pneumonia?