Automated Log Rotation and Compression Pipeline

Design a robust Bash script that implements enterprise-grade log management for multiple application logs. The script must automatically rotate logs daily, compress older logs using gzip with a configurable retention period, and generate a detailed audit report of log management activities. Include error handling for permission issues, disk space monitoring, and email notifications for critical log management events. Ensure the script is modular, accepts configuration via a separate JSON config file, and can be easily integrated into existing system administration workflows.