Can you explain what timed, latched, and validity output are?

Also this is what I bought today

-508D DEI PROXIMITY RADAR MOTION SENSOR $32.95

-530T DEI POWER WINDOW AUTOMATION SYSTEM $62.95

-DEI 528T PULSE TIMER WITH SPDT RELAY $15.00

With the timed relay I would like to hook that to my headlights, that way when I lock the car my hids turn on and illuminate the way for me when its dark out aka courtesy lights. This is possible rite? And would I tap my proximity sensor in where my the shock sensor is too?

Note: I was looking at the diagram for my alarm and in the lower left corner I see Factory Disarm/Speical Accessory Output. What can that be used for? Its Light Green/Black

98' Eclipse GS- Hahn Stage 2- SOLD
02' Honda S2000- SOLD
04' Acura TL- Current Whip