I have been having this same problem on and off for over a year. I've had Jeep service look at it twice and both times they couldn't find find any issue. The last time I left the Tazer uninstalled (about two months) until three days ago. Today, again I saw the same error (Service Automatic...
Yes, PL-259 for the connector. The head wiring follows a gap at the top of the windshield and then down the left A-pillar. There's a strip of velcro just above the drivers side sun visor that will hold the head when the top is off - not very accessible with the visor up, but keeps it anchored...
Like you, one of the first things I did was to install a Ham radio. In my case it was the Kenwood D700. I found a space behind the access panel under the steering wheel that was just large enough for the body of the radio (the D710 may be wider than the D700, so may not fit). I used velcro on...