If the nut is tight, it sounds like you have either a dirty contact in the jack, a bad solder joint, or the jack is somehow touching the shielding and shorting out. Have you tried “exercising” the jack? (Push and pull the plug in and out of the jack about 50 times). You can also apply some contact cleaner first, then exercise. Have you opened up the control cavity and eyeballed the jack?
Bill, tgo