This is the exact same problem I had (on another car) and the fix was simple. I pushed the brake pedal in, the brake lights come on as well as all the parking lights (and dash lights). The problem was that I (or someone) had put the wrong bulb into the brake light socket. The brake light bulb should have had two filaments: one for parking lights, and one for the brakes. I (or someone) had put a single filament bulb (one for the blinkers maybe) in the brake bulb socket. Being a single filament bulb, the electrical contact was large and in the centre of the base. It shorted the two electrodes at the bottom of the socket (one electrode for brakes, one for parkers). So when I pushed the brake pedal in, 12V got to the brake filament electrode in the socket, the bulb lit, but the electrical contact on the bottom of the bulb connected the 12V across to the other electrode in the base of the socket, putting power on the parking light (and dash light) circuit... so they all lit up. The two different types of bulbs are usually keyed different so they aren't interchangeable, but it happens. I don't know how the types of bulbs are arranged in the 280ZX, but check them all I hopefully you will find one that is the wrong type for the socket it is in. Good luck, Eric