I can't listen music through my bluetooth headset with iPhone

contact the manufacturer

the iPhone does not support bluetooth for filesharing ( only for bluetooth A2DP headsets , and multiplayer iPhone-to-iPhone games)
However..if your iPohne is jailbroken , you can try to download iBlueNova from the xsellize repo in cydia

Bluetooth on iPhone:

On iPhone:
1) Go to Settings
2) Go to Reset
3) Select "Reset All Setting" (Make sure you save passwords. Data is safe.

On Headset:
Clear all previous pairings.
Once iPhone reboots, turn on Bluetooth.

I’m happy to assist further over the phone at https://www.6ya.com/expert/joe_8b8c2cd6ce148309

In order to have music streamed to a bluetooth headset, it must bear A2DP (Avanced Audio Distribution Profile). You see, all stereo bluetooth headsets available on the market do support that profile. Nevertheless, the VMX100 is a monaural headset, thus bearing both HFP (Hands Free Profile) and HSP (HeadSet Profile) only, which are suitable for phone calls only.
Well, depeniding on your phone platform, you might find applications around which route all audio to a monaural bluetooth headset. However, you would, most probably, find the sound quality to be pretty poor.
Please, let me know if I can help you any further.
Regards, Carlos

Bluetooth

iphone doesnt detect other devices iPhone has no A2DP Bluetooth profile, and it has been a real surprise. It only offers HSP/HFP Bluetooth profile (Headset Profile/Handsfree Profile) for mono headsets, which is not enough – you can use it only for phone conversations. A2DP's first distinguisher is Stereo of high quality for music listening. White on BlackWhite on Black is used to invert the colors on the iPhone display, which may make it easier to read the screen. The screen looks like a photographic negative when White on Black is turned on.

GPS
Yes, with A-GPS support

iPhone 4 will not pair

Unfortunately, the iPhone doesn't (yet) have such capability built-in. But engaging the iPod function to listen to music/video audio while a call is taking place will allow you to hear said audio. Obviously this is not an ideal solution. If your phone is jailbroken, there is a tweak to enable music to be played through the bluetooth headphones but it is low quality.

the bluetooth of iphone is not compatible with this.get the bluetooth application installed from itunes store to maki it compatible.

iphone works well with LG HBS 200, I am listening to music in iphone though LG HBS 200 right now..it works like charm

NO. It's not compatible. I just bought one today.