Followup - I did a search online for C'upper case O'68A instead of C'zero'68A and got a hit for a service manual on eBay for this exact model. I bought it and found that the trailer connector is also a factory-installed Motorola radio connector! Starting from the male end, the first two conductors are for the front speaker which has a compatible two conductor version of the "trailer" connector. The other two conductors in the radio connector are for rear speakers which must be controlled by a rear speaker controller KM15S or KM19S. I don't have one of these controllers but am assuming that it plugs into those conductors and then has outputs for rear speakers.
The wire with the woven jacket on the other side of the radio is the power lead. The lack of a ground connection makes me think that the case is the ground.
While I realize you don't have the service manual in front of you like I do, I'm open to other interpretations from more experienced people. Thanks for your inputs above.