Did you check with a voltmeter that the EB-27 (Starter Cut) relay showed proper continuities when you had it removed?
It should show continuity between pins 2 & 4 (the internal coil), and continuity between pins 1 & 5 when pins 2 & 4 (Normally Open switch) are energized with battery 12 volts. If continuity between pins 1 & 5 is present at all times, the relay is stuck or shorted (which would be keeping the Heater A/C relay energized at all times and applying power to your Auto A/C controls).