if the regular old horn honks that may times, it's not a factory system that is causing it to do that. The factory system on an '02 should have a separate piezo that beeps, and it's usually very quiet.
Check to see if there is an aftermarket system wired in to be armed when the factory system is armed. Chances are that there is.
Also, post a picture of your remote- that'll provide some insight to which system is in the vehicle...
Ryan