No there were 2 diffrent ones in the show. When they were going into the warehouse he got one from the telephone outside. It looked like a circle almost like an earring.
It's more than likely a fake headset. For example, in the movie "Mr. and Mrs. Smith" the "bluetooth" headsets they were wearing were merely standard wired headset w/o the wires - just movie props. The movie "I robot" w/ Will Smith was the same thing. They look cool but again movie props.