Microsoft Xbox Series X Pulse Red Controller
Compatible with select devices and operating system versions; learn more at xbox.com/controller-compatibility. Battery life varies significantly with headsets, additional accessories, usage, and other factors. Testing conducted by Microsoft using standard AA batteries in preproduction units.
I don't think it will come with the usb c cord, When i bought the shock blue controller it only came with a set of cheap AA batteries. The Usb C cable was included with the Charge and Play kit. Which contains the rechargeable battery too. Hope that helped.
Yes it does
If those headphones connect with 3.5mm headphone jack then yes. If those headphones have 2 connectors that are 3.5mm Jack's then u will need a audio splitter to use them
With an engraver