Nutritional neuropathy is common in people who are anorexic.Nutritional deficiencies causes nerve symptoms,tingling and burning. You should consult a neurologist and go for a evaluation and get the diagnosis confirmed.
I am glad that you have acknowledged the you are anorexic. As the name suggests, "Anorexia Nervosa" has definite psychological basis to it.
I am not sure if you are already under a psychiatrist's care, but don't you think this is the time to consult one, if you are not seeing one? And the possible neuropathy that you might have could very well be treated, if you treat the anorexia. Let me know.
Get to the roots. Anorexia has many other complications of its own.