First of all, congratulations on conquering the nasty weight demons! You should be proud of yourself.
Now that you've achieved a more healthy outlook and body, there are several important considerations...
I can certainly understand how the excess skin and undesirable body contour it causes would be an unpleasant reminder for you, and your motivation for having it removed. I don't think your motivations would be perceived as unhealthy.
There are other psychological and physical health considerations, however...
It is very important that you are in a good place mentally before your surgery can proceed. It sounds like you have achieved a healthier perspective, but surgery and its recovery can place significant additional stress on even the strongest of individuals, and post-surgical blues are not uncommon. This is because in the early postoperative period, swelling, bruising, fresh incisions, drain tubes, and discomfort may have you wondering exactly what you got yourself into- with time, as these short term discomforts and inconveniences are relieved and your lovely outcome is visible to you, your outlook will improve.
Visit with your doctor, psychologist, or psychiatrist and discuss your desired body contour surgery with them. They'll be able to write a quick note to your chosen Board Certified Plastic Surgeon letting them know that they support you in this endeavor, and are ready to also assist you with the psychological stresses of the postop period.
It is equally important to see your doctor to be sure that your body's physical functioning is good and you are in optimal condition to undergo the physical stress of the operation. As mentioned by colleagues, good nutrition is essential to good healing and a smooth recovery.
So to summarize, I do not think that the fact you were troubled in the past would limit my personal comfort with taking you on as a patient, but I would want to know that we had done everything possible to make the surgery as healthy and safe an experience for you as possible.
I hope that helps you- I wish you continued good luck!