81 280zx turbo blinker problem

Hello folks, I recently bought a 1981 280zx turbo and it runs fantastic, however I have run into some electrical problems. The blinkers stopped working and I had 3 dash lights always on (Fuel, Door, and Brake). There was also a buzzing noise coming from a relay under the passenger side dash. I have no idea what relay it is, however when i disconnected it the buzzing goes away and the 3 lights turn off. Now when I engage either side of the blinker, the blinker relay behind the steering wheels buzzes away and they still do not work. Also, when I put the car in reverse the 3 dash warning lights turn back on. Does anybody have any idea what this could be and am I going to have to take out the dash and check all connections to all the relays? Any help would be much appreciated!