<human>: Could you distill the essence of the text into 1-3 sentences?

Backstory: I was pure skin and bones my whole life, until about two years ago, when the stress of dealing with an alcoholic parent triggered an intense episode of depression. I attempted to numb myself by obsessively over-eating, and watched the number on the scale slowly crawl upwards as months went by and the binging continued.  

I'm 16 now. 5'3", ~115 lbs. Still stressed, still a compulsive over-eater. I recognize that my weight sounds normal for my height/age, but I'm INCREDIBLY small-boned, and I basically have no muscle mass; I'm chubby. And I want to lose this fat.  

I've been lurking on r/loseit for about six months now. I know about keto, I know that my 3-5 jogging sessions every week will help me get fit but probably won't aid me much in terms of burning calories, I never drink soda or juice, and I always track my calories... but I can't maintain a caloric deficit.  

It's not a hunger issue; if I only eat when I'm hungry, I'll probably only consume ~1000 calories a day. I just don't get hungry often. But I constantly crave food. I get antsy if I don't have something to snack on, and I push myself to eat until I feel like I'm going to vomit. I can't get through more than two days of healthy eating. To top it all off, I've been a vegetarian for three years, and I can't cook, so making healthy dishes is incredibly difficult. My father refuses to take my health goals seriously, because he fears that I'm only going to send myself spiraling into depression if I start worrying about my weight.
<bot>: Stress drives me to over-eat nearly every day, and, although I know almost everything there is to know about HOW to lose weight, I don't know how to motivate myself to maintain a healthy lifestyle.