2004 mustang, autopage rs-1000 oled

I am trying to get my 2004 Ford Mustang to have domelight supervision when I unlock the vehicle.  I am using a relay based on the diagram at the link I am providing and I read on velocity motorsport that the relay should be hooked up the same but when I unlock my domelight doesn't come on I have tried the domelight supervison BLACK/ white wire both negative and positive the only thing that changes is when it is wired like a positive the light stays on about 10 seconds after I closed my doors. When I try using a negative door trigger and try the negative and positive relay the only change I get is when I wire it positively and again my light stays on about 10 seconds after I close my door.

When I remote 2004 Ford Mustang in the winter of course I get heat when I leave the heater on and remote start but in the summer time I'd like A/C to come out when I leave it on I read on the Bulldog security it says I need to hook up to both gray / YELLOW wires and the BLACK/ light green wire and then I hooked it up to the brown wire for heater/A/C on my Autopage RS-1000 OLED but I tried it and still doesn't have my A/C working how do I get my A/C to come on when I remote start?