Business & farm

Now I'm more confused. The school did send me a 1099-NEC, so I'm assuming the stipend is considered business income. When I look up Schedule C on the IRS, I see that the form is for reporting income or loss "from a business you operated or a profession you practiced as a sole proprietor." It's not through a business I operated so I'm assuming it's the latter. That led me to look up sole proprieterships. On that page I see that if I'm liable for self-employment tax then I should be using schedule SE. 

 

Turbotax seems to think I'm liable for self employment tax, based on how much my owed taxes jumped after entering the amount reported on the 1099-NEC (it looks like I owe about 28% of that back in taxes!), but if that's the case, why did Turbotax use schedule C vs. SE?

 

Also, what address should I report on Schedule C? Is that the address where I'm performing the work, or the address of the "business." It's confusing to me because, again, I didn't start a business. It's just me doing some work for a school. Thanks!