I would say 100% worth it! I have had my band for 18 months and I have lost 70lbs and am almost at goal. I feel so much better about myself and my health! I'm 40 and I feel 24 again! I am 5'5" and weighed 225 at my highest. I'm now at 155 with about 20 more to go to be at goal. I was depressed about how I had let myself go too, but it doesn't have to be that way. It's not a quick fix and it does take work, but I have never regretted the decision.
My advice would be to start the process! You will have to go through a whole bunch of tests and meetings. You will learn if it's something you can handle or not. But start the process and learn more about it from a surgeon in your area. If your doctor is suggesting it and you trust your doctor, then you owe it to yourself to get informed.
I started looking at this website when I was considering it, but in no way did I form an opinion one way or another if I was going to have the surgery. There are too many opinions and situations. Good luck to you in making the decision and no matter what you decide, you are a beautiful young woman!