Recon 200 Amplified White Wired Gaming Headset
No they have wires to plug-in to controllers
Yes as well as use them to make phone calls on phones with the headphone jack
Yes! I use the Xbox side of the switch for my PC it works great.
This specific one is not wireless but they have some that are! I own both and honestly I prefer the ones with the wire! Hope this helps!
There is a small cord in the box that will allow you to charge them with the addition of your typical block for the cord.