Do I have bulimia?! Please help!?

Last night after dinner I ate two pop tarts. After eating them I felt ashamed and fat. I'm not overweight or anything. I'm 14 years old 5 feet 3 and weigh between 112 and 115 pounds. Anyway, after debating what I should do after eating the pop tarts I went into the bathroom and locked the door. I put one foot on the edge of the toilet, leaned over it and began flexing my stomach muscles. I could feel the food starting to come up so I pressed on my stomach and immediately I was able to vomit a tiny bit. After doing it once I gently pressed on my stomach again and a little bit more came out. And then I stopped. Including both times I only threw up a tiny bit, but it made me feel better. That is until I grew tired and slept for about 10 hours, I usually sleep 7 or 8. And this morning I feel extremely week and tired. Also, I keep feeling the need to throw up, not in a sick way, I just feel as if I need to let the food out. But, I'm afraid of ruining my teeth and losing hair since my hair is already thin so I keep holding the vomit in. I think I may have done this because of my sisters making fun of me for having big love handles, I do, and because my mom jokingly said she wants me to lose 5 pounds. I'm scared because I didn't think throwing up only once would make me feel so weak. I can't even do a push up. And I also still feel the urge to throw up again, I can feel it in my throat ready to come out, although I don't want to let it so I keep fighting against it. I really don't want to become bulimic and I want to tell a friend but I'm afraid she will tell someone even if I promise her I won't do it again.