...How can I remember inner beauty? (anorexia help)?

I used to hate eating. I guess it's when I looked in a mirror sometime (I'm not sure when) and just didn't like what I saw. So I tried to eat as little as possible, pouring away the milk my parents gave me each morning and evening (because I was horrified by the fat content, not realizing how much healthy it is for me) and often skipped lunch entirely. I avoided sweets entirely and examined the fat content of everything. That was a year ago, and I was in 8th grade then. Since that time, I've gone through quite a bit of weight cycling. Gaining, losing,but a lot of gaining...I am about 5'6" and I probably now weigh 105 to 110 lbs, but I haven't stepped on a scale in so long because I am scared. I am now (mostly) having my milk, but I am exercising too much and eating veggies alot because I still put my self-worth on what I weigh. Like, if I am 100 lbs people will like me more or something...well,let's face it, I'm not a very popular or chatty kid at my school. Just recently one evening I got upset because my parents wanted me to have an ice cream sandwich. I still look at the fat grams and calories of what I eat, and it is hurting my family but it's so hard for me to stop because I don't feel accepted by others and I feel like I have to change myself. My parents say if I don't stop that they'll make me go to a shrink and a nutritionist...and I admit I may need that but I hate making my family spend all that money because of a stupid problem I have. Can someone please help me to feel better about myself so I can stop this and help my family?