Not gonna lie dude, if you dont want to waste your money, then going for the wireless headset isnt the way to go.
The sound itself isnt as clear as a "standard" xbox headset, and obviously it does have a battery life, where as the standard xbox headset doesnt.
I have the wireless one, but it just sits there gathering dust.
Answer to your question: Long story short, yes it will work. But it really isnt worth the money...
Depends how kind the guys are, at the shop...
A nice guy would probly accept it back, if you're not happy with it.
but they do have the right to say that once it is opened, they dont NEED to refund anything.
In which case you would be stuck with it..
It's like i said, if you can find a cheap wireless, then go for it.
but i wouldnt recommend them.
The person using one, always sounds like they are miles away from the mic, due to the fact the mic is too far away from the mouth of the user.
and the person listening through one doesnt always get the best sound quality, compared to a wired one.