Are you referring to the personal history statement from GSAS’s website? (http://gsas.nyu.edu/content/nyu-as/gsas/admissions/tips.html) If so, you are excluding an entire chunk of the question. Here’s the way it’s wirtten on the website:
It’s not solely a diversity statement - it’s an opportunity for you to talk about aspects of yourself that make you unique and set you apart from other applicants. That could be your racial identity, ethnoreligious identity, gender, sexual orientation, etc.; or it could be other things - community service, activism, income background, disparate interests, bringing together unusual fields, a personal challenge or experience you’d had, etc.
First of all, it’s optional. It’s better not to write an optional essay at all than it is to write a lackluster one. If you can’t think of a good idea for the essay, or if the one you write isn’t great, then it IS better to skip it. Most graduate programs wouldn’t turn down an otherwise outstanding application because they didn’t write an optional essay of this kind.
In fact, I think this kind of essay is most useful for students who may have an uneven academic/professional background that can be explained by some kind of personal experience they’ve had. Think an immigrant student who was learning to speak English while getting their bachelor’s, or a person who survived a violent crime when they were in college, or someone with a B average partially because they were heavily involved in activism and has been recognized for such work.
With that said, I think the most interesting thing you’ve highlighted in your idea list is the e-commerce business owner part. That may be more or less unique depending on what program you’re applying to, but writing about how you got started and what you learned along the way could be relatively interesting. But if it feels like a stretch, don’t write the essay.