Sounds like the security system module/pump is sitting water, slowly being destroyed. Common issue.

Tear out the passenger side trunk/hatch lining and get in there and dig it out. I'll bet it's wet.

Fortunately, they are 'generic', all Crossfires (Coupe/Roadster/Base/Limited/SRT) use the SAME one! You can go with a used one from a junked car or buy new.