From what i see on samsung's website the headset you are talking about is not a stereo bluetooth headset so the chances that it will support music playback are acute.
You can check 2 things though,
1. Long press on the paired headset in bluetooth settings and check if the media option is available, if yes activate it and you can play music.
2. Pair the headset with a normal wildfire (unrooted, s-on) and try the same.
Not all handsets play music via normal (single earpiece) bluetooth headsets so if it doesnt work wildfire is one of them..
HTC Wildfire A3333