There are some things to consider before raising rabbits with the expectation of showing profit. The majority of rabbits that are bread with profit in mind are for meat (market) and to a lesser degree, to provide show quality bunnies. Yes, there are other reasons, but I'm just going to stick to these two.
Market rabbits do have the potential for profit, if you have a market for them. They aren't like a calf or hog: you cant buy them young, feed and grow them, and then sell them. You will have to have at minimum a quality buck and doe to breed your own. Due to USDA regulations, trying to butcher them and sell the meat is cost prohibitive; you would typically sell them live. There are a lot of other aspects, and I'm happy to answer them for you if this is some thing you want to still explore.
The other way to make money with rabbits is to breed and sell show quality bunnies. Easier said than done. Yes, a rare show quality rabbit can sell for a lot (I still can't believe how much my daughters broken-black Netherlands Dwarf buck cost), but many other kits were born prior to these show quality ones. You have to find a home for those, or plan on feeding a lot of rabbits. If you go this route, plan on attending a lot of ARBA shows, too in order to get your name out.
All of this being said, I really don't want to discourage you from rabbits; they are GREAT. I just want you to have a good understanding of what you are getting into. My daughter (who is only one year older than you) has show bunnies and raises market rabbits. At your age, more than anything else I would STRONGLY encourage you to join 4H. Find a good club that is very active- even if you have to drive a little more. It will make all of the difference in the world. Both of my kids are very active in our club. Feel free to post other questions or send a PM. If you want another kids perspective, my daughter would be happy to answer too. Good luck either way!
-Kevin