Which door? I can't think of anything door related that would affect bluetooth.
The bluetooth module is in the right rear cargo area (the unit is mounted at an angle with just a part of the rear sticking above the floor area when the pull down door is removed).
The microphone is obviously up by the sunroof switches...so again, not near anything door related.
If anything, check the connections on the BT module and the microphone above the headliner to see if all the wiring harnesses are plugged in correctly.
This is the bluetooth module (silver module mounted at an angle). To get total access to it, you need to remove the right rear plastic floor piece...again because only a small portion of the unit is visible from above the cargo floor: