1) Yes, the key only had a light in it to help to keep from scratching the car when unlocking at night.
2) 3 chirps means the system is not arming, normally due to something being open or a switch problem.
You can buy additional alarm key fobs and code them to your car. I got one off eBay. The instructions come with it or are available online.
'95 Alpine M3 LTW
'00 Dakar M Roadster
'02 Topaz M3
Red/White SRF #4 (Chassis 561)