Factory Alarm? Options

[jumpinccv]

Im pretty sure im right but im just making sure, the little light in the upper left hand corner of the dash is the factory alarm. I know it is an alarm but i dont know if its factory. I have a 94 gt. Im asking because about two months after i got my car the alarm was acting up. I would arm it and then get out of school and it wouldnt unarm. It would do nothing no matter how hard i mashed on the button. So a few times I would have to open the hood with the alarm going disconnect the ground to get the sound off and take the battery off, then put back on to get my car started. I even had to plead to a cop that i wasn't stealing my own car. Twice it happened in broad daylight of the college parking lot. (major embarrasing!) so anyway has this happened to you guys? I went to a car audio and alarm place and they said it wasnt factory.