I just experienced sharp chest pain in the upper/middle part of my chest while blowing my nose. It was so severe and unexpected I stopped blowing my nose. Blowing my nose is part of my nightly routine, so the blowing the nose part is not new or associated with a cold-the chest pain is new.
Thanks for your question on Chat Doctor. I can understand your concern. By your history and description, possibility of musculoskeletal pain is more in your case. But better to rule out causes pleurisy (inflammation of pleura) first. Common causes for pleurisy are pneumonia, pleural effusion, Pulmonary contusions etc. So get done chest x-ray. If chest x-ray is normal than no need to worry about these causes. Forceful nose blowing causes contraction of intercostal muscles. And this can be painful sometimes. So musculoskeletal pain is more likely. Apply warm water pad on affected areas. Start painkiller and muscle relaxant Chat Doctor.  Avoid movements causing pain. Avoid strenuous exercise and heavyweight lifting. Don't worry, you will be alright. Hope I have solved your query. Wish you good health. Thanks.