I hope your radio fixed the issue, on my 2011 similar problems surfaced, and it turned out to be the U connect module which runs Bluetooth. The dealer wanted 200 for the part and a software update, so I replaced everything with a Kenwood DD unit and bypassed the Jeeps Uconnect module, which handled the phone calls, etc. I did buy a majestro module to interface and all works well. However, my daughters Jeep will get a Pioneer DD with apple play, which is a much nicer interface.
2011 JKU L83 V8