Make sure the lightning cable is a good one and not one of those cheap gas station cables. Out of my four cables only the genuine apple cable worked. The first one kept connecting and disconnecting and the second one have me static. They all charge fine from the wall. The Bluetooth has got to be something interfering with the wire. I had my top down today talking on the blue tooth and they heard me crystal clear but I didn't rerun the new mic because it was identical to the one I already had in there. Try using your old mic maybe the new one is damaged.
