Do I have an eating disorder? i hate what I see

I am 17 years old. I am 5 feet 7 inches tall, and I weigh 105 pounds. I have been struggling for almost a year now, but I think I have become worse more recently. On weekdays, I have a coffee with splenda and half and half for breakfast. Then, for lunch, I have 3 ounces of grapes and propel zero calorie flavored water. When I get home from school, I normally binge on sweets. I feel like I can do this because no one from school can see me. However, it is hard to hide from my family and I feel embarrassed. After or right before I binge, I take two tablespoons of a saline laxative. I thought I would just try this once to lose some weight after the weekend (I pig out then). But now I am afraid to stop taking the laxatives because I feel I will gain weight. I still want to lose more weight. I do not think I am thin enough. I hate what I see in the mirror and I feel like I am losing all my friends. Many of them were jerks and used me. My family thinks I am okay now and it was just a phase I went through in the spring. However, I do not think I am okay. I got a bad cold at the end of September and I got sick again at the end of October. I am an a plus student and never get little sleep because I am up late studying. I feel like I have to be perfect in grades and everything. If I do not get a 100 on a test, I am upset. I am a junior and I also take a college course. I just don't know. I am smart, but I know I shouldn't be doing this to my body but I can't stop. Please help me. I need advice!!!!!! Can't talk with parents...