Frankly, you are a total noobie and not ready for cave training. You need some addtional years of diving and hundreds of dives. Then, maybe. I suspect no serious cave instructor would take you on at this point. AOW will help you begin to learn task loading. Rescue will begin to get you to look outside yourself. Many many more dives will begin to internalize some good diving practices. Drysuit will keep you warm. Night, well, it's dark in a cave. Deep is because many caves are.
There certainly isn't anything wrong with someone at his experience level starting to develop a roadmap towards getting to that goal, however. That roadmap probably doesn't have him in a cave class next week, but it can outline the steps. Those probably include AOW, rescue, learning to dive a drysuit, etc