Typhoid is bacterial infection that involves at times propensity to spread to different parts of body and causing symptoms of that organ too.The lungs are probably involved in your body causing chest pain and cough. Just because fever is gone and you are feeling better within 1 week it is too early to say you are rid of typhoid as organism continues to harbor the body for longer time By the way have you heard the story of Typhoid Mary, It is fantastic yet very educative . So continue therapy suggested by your physician some more days it will also help lungs to recover. Take Tylenol along to help reduce pain in chest if severe. By the way, i congratulate if you have left Smoking now and persist on that but if wish to live longer and happy, do not ever start