Looks like your alarm's 10A output can handle the circuit. If that wire turns on all the lights you want it to turn on then you're good to go; just connect up your alarm's light output wire to that.

I'm not sure about the 2nd circuit that Hammered is talking about cause I've never seen that before for parking lights. But if there are two circuits which you are trying to power and they are normally separately fused then I agree you should power them with separate relays rather than connecting them together.