Healthy Weight for 5'2" Woman

Just had a doctor's visit today. I was weighed and kind of freaked when the scale read 150lbs! I am a female that is 5'2". I felt the healthiest at about 130-135lbs. My doctor said that my metabolism could be changing, since I've steadily gained weight over the last couple of years. It's strange tho...I've gone from a stead 105-115 in my late teen years and early 20's. Now that I am almost 27 I find that I am gaining weight. I do have my "fat" days where I just feel miserable, and few days where I feel good about myself. I guess I'm just looking for some friendly support and maybe an answer as to weather 150lbs is okay for my height. The strange thing is that I gain the weight in my thighs (big time!) my stomach and butt. So...I don't know. I don't think I'm obese, but my weight doesn't seem to fit any of the standard weight charts for women. I don't feel that I have a typical body type and I am struggling with trying to be healthier.
Anyway, any women or even men who may have an answer, opinion or support....please, feel free to post. Not only am I looking for help and support, but maybe my post will help someone else with the same issue.

Thanks.