I have a severe cough and chest congestion coughing up
You may need to use antibiotics.
Hello dear, welcome to Ask a doctor service.
I read your query and here is my advice.
Severe cough and coughing up green mucus can be a sign of bronchitis or bronchopneumonia. Taking mucinex is a good idea because it contains guaiphenezine used to bring phlegm up.
I think you also may need to use a round of antibiotics possibly azithromycin or amoxicillin for 5 days.
Also keep yourself hydrated and also use steamy sink or room may help mucus delute and come up easily.
Hope I have answered the question.
Let me know if I can assist you further.