A:AnswerTo check into the correct connections and options the radio has please consult with Kenwood's customer service line. They will let you know what options on the cables you can get.
A:AnswerThe DDX376BT is compatible with your 2005 Chevrolet Corvette. The Kenwood harness does not connect directly to the vehicles harness. You would need to purchase a vehicle harness adapter which is purchased separately.
A:AnswerThere are no settings to turn the microphone on. It will automatically work once it has been connected. Verify the microphone is connected to the correct port on the back of your DDX376BT.
A:AnswerTo check into troubleshooting on the issue you are having please contact Kenwood. They do have over the phone support and will help you troubleshoot.