Vinegar for the mold.
Try using bleach water to reduce the stain, rinse it off well and dry the area. Spray with full strength vinegar to kill the mold spores and let it dry on the area. It is possible that the caulking may be permanently stained, if so, you may want to remove the old and put on new caulking.
You could use cotton balls soaked in bleach tape to spots with mold leave on over night
HI Bobbie - There are several ways to get rid of mold, but most importantly, you need to address the root cause to keep it from returning. This article focuses on the bathroom, but is an overall great article that covers methods of how to remove mold, if bleach is safe to use, and how to prevent it from coming back. Hope this helps! Hugs, Holly