Do I have a problem with eating?

I've been dealing with disordered eating on and off for the last year or so. I go through periods of starvation and then they suddenly stop and I begin to eat again; most of the time I over eat though. For the past week I believe, I have gone back to old habits. I have purged twice (once yesterday and the other a couple of days ago). I have also been starving myself- Monday I did not allow myself to eat after 5 because I felt too full. I also have a history of depression, destructive ways of coping with pain, numbness, and life has turned me into a cynical, pessimistic, irritated person. It's been this way since I was 12 (I'm 16 now). Do I have an eating disorder, I don't exercise.