1) Static headlights on, but not with only parking lights? Maybe bad relay for headlights causing static from burnt contacts sparking? I think there is a relay for high beam and a relay for low beam. Guessing. 2) KJs do have problems with ground wires coming loose / corroding, which causes screwy things. One KJ owner had problems with dash lights when he disconnected the radio antenna wire. The dash was using the outside ground shield on the antenna cable for its ground. He had to fix the ground wire for the dash. Maybe your antenna cable ground is loose? Might try hooking a temporary ground wire to your radio metal case and to a good ground point? There's one good ground point behind the plastic kick panel on the left driver's side (US). The panel pulls out at the bottom fairly easily. One KJ owner found that ground plate wasn't bolted to the body behind the panel, which caused electrical problems for him. 3) Any issues with horn honking? Do you have radio control buttons on steering wheel? There's a clock spring under the steering wheel that provides the ground connection for the horn button, the airbag, cruise control and radio control buttons. Not exactly solid answers, but some ideas.
