No matter how you proceed, it is important that you first get your haemogoblin up to par inorder to remove the limitation...11 is not that bad, that is if you don't have a progressive thalasemmia.
You can easily increase your hb count....try iron tablets and folic acid twice a day for about two weeks, if you are not allergic to any of these tablets that is. Then proceed for re-check at a private lab first before you do a re-medical, submit an appeal etc. you should be up to atleast .5 if not more by then....
Continue with the tablets for a while, excercise, and consume food rich in iron, loads of dark green leafy stuff like spinach if you a vegetarian...that should do.
Good luck...