I have 1099 income, but no LLC, can I deduct health insurance premiums?

My mother in law has a rental and will pay me via a 1099 to manage the rental. I don't have an LLC or formal business structure.  I am paying health insurance premiums through the health insurance marketplace. Can I deduct the health insurance premiums even if I don't have a formal business? What kind of 1099 do I need? (MISC, NEC...)

 

if I can deduct, is the self employment tax calculated before deduction or after deduction? For example, if my 1099 is $10,000 and my health insurance premium is $8,000, is the self employment tax calculated on $10,000 (before deduction) or $2,000 (after deduction)?