I have a constant wet cough , from coughing too much I pulled a muscle on the left side of my chest /side boob, and a runny nose. Pain scale (pulled muscle) 1-10 is a 10 broke the scale. I took advil , heating pad , hot bath, ice pack doesnt work . it hurts to cough due to the pulled muscle. It hurts to the point where I cry.
Consider getting a chest x-ray to be sure your pain isn't from a pneumonia causing irritation or from a rib you may have broken from coughing so hard. In the meantime, as long as your liver is healthy, take 1gm of Tylenol with your 600mg of Motrin every 6hrs as needed for pain. Also consider taking a decongestant to help with the runny nose causing the wet cough and a cough suppressant.