Alright. So I completely removed the becker unit from under the passenger footrest. After removal, I taped up all the remaining electrical connections with electrical tape and threw the Becker unit in my tool box. There is no reason to keep it in the car right?

To test if the alarm would no longer go off, I rolled down the windows, locked the car, then reached in and opened the driver side door handle - no alarm! So I am hopeful my alarm problems are solved.

I also tested the radio as well as drove the car a little bit. No problems. Thanks for all the help!