One thing I have seen on multiple phones is that sometimes lint can get trapped inside the headphone jack socket.

Did you purchase the headset new or used. If it was purchased used, lint could be present from the previous owner. Do you carry the phone in your pocket? That is where my phone picked up lint in the headset socket. Recently, I had this same problem. I took a paper clip and dug a piece of lint out of the socket. I also blew some compressed air in the socket to hopefully get out any additional lint. Corded headphones now work on my phone where the did not before removing that piece of lint.