Is it normal my weight has varied this much during my lifetime?

When I was a little kid... well, probably up until I was early 14, I wasn't just chubby. I was flat out FAT. To the point where I hide pictures of myself because they make me cringe. I think.... I was around 5'4 (my current height, by the way) and 165 or so, at my heaviest.

I started suffering from severe depression at the age of 14. I stopped eating almost entirely during Summer 2007 (when I was that age) I got down to 129, I think. I stayed at this weight not for long. I was put on a crapload of psychiatric meds that made me eat, and eat, and eat. I went from 129 to 156 in a matter of weeks.

I stayed that weight for like... about a year, but my doctor told me I needed to lose weight. I was mortified by the comment. That was in July 2009. I stopped eating, again.... I got down to 117 by November, the thinnest I had been in my life. (I hadn't been under 120 since I was in 5th grade) I was pure skin and bones. I loved it. I had a 22 inch waist, and you could count my ribs through my shirt.

Now I am at.... 127, and not that happy. I'm healthy but... I want to be 117 again. But my boyfriend says I would be too skinny and that I am perfect right now. I feel... okay, but not 100% content with myself.

But my main question is, is it normal for my weight to have changed this much during my lifetime? I am 17, and I don't think there was a single time in my life where I had healthy eating habits. Only stuffing my face or starvation.