Welcome to the HP forums! It is a great way to engage, post questions and find resolutions by working with specialists in the HP community. I understand that you need assistance regarding the headsets that don’t work while the speakers do on your unit .It will be a delight to assist you here.
First off, Hats off to you for a job well done as you have tried the basic troubleshooting steps and checked settings on the unit, before posting the query in the HP forums. It is amazing to see how technically competent you are. It is always a privilege to work with tech-savvy customers like you.
Some steps to try out:
Please use a different headset and check.
Please check the sound controls on your computer for the headset and set it to maximum volume.
Try to perform a system restore to a good known working date before the issue occurred to try and correct the issue.
I genuinely hope the issue gets resolved without hassles and the computer works great. Hope this helps. Please let me know how this works. To simply say thanks, please click the "Thumbs Up" button to appreciate my efforts. If this helps, please mark this as “Accepted Solution”.