Can't answer completely, but a start maybe.
1. I'm guessing that you'd have to fill out the parent's section twice? Not sure though, it's been a long time. You can probably ask the financial aid office at your school.
2. My parents are landlords. My mom looks for paying bills on time. She's ok with some debt, however 80% of her decision is based on meeting the prospective tenants and income. With the income proof, in my experience you shouldn't have any trouble with a complex.
I haven't been asked for references that I recall, just emergency contacts. For that, someone local is best, but not necessarily required.
To get utilities, you may need to put down a deposit. The rules vary, but be aware of that possibility.