SGH-t819 Bluetooth sensitivity poor - can I fix this?

Have 2 Samsung SGH-t819 phones which function normally except that one of them has extremely poor sensitivity to a Bluetooth headset. Both phones will recognize the headset and connect and pair. Can use the speaker and microphone in the headset. Can also disconnect or end a call and reconnect by using the paddle switch on the headset.
The problem is that one of the phones loses contact and disconnects the headset if only a few inches away from the headset. Can see the headset from my computer using Bluetooth over 30 feet away so I know the headset transmits OK.
Could the Bluetooth antenna in the phone with poor sensitivity be disconnected or broken?
What could I do to try and fix this problem?

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It's possible that something internally with the bluetooth antenna is broken. Unfortunately there is nothing you can do in that case other than take it to a cell phone repair shop and hope they can find the problem. That may cost more than getting a new phone though.