"Child or Dependent Care" vs "Medical Expenses"

The questions are for 2019 income tax return related to elderly long-term care.

 

My father was paralyzed. He didn't have any income or asset, and was ineligible for any benefit, such as SS, Medicare, or Medicaid. I paid out of my pocket for everything that he needed, including medical and long-term care, for the entire year 2019.

 

He is my dependent in my 2019 income tax return.

 

There is a question in TurboTax, "Did you pay for child or dependent care in 2019?" I answered "Yes", as I paid for my father (my dependent) to stay at a group home for part of the year. 

 

Then another question, "Pick a dependent and a provider, and tell us how much you paid". I picked my father's name and the provider, and entered $10,000+ that I paid.

 

As a result, I've got $600 Child and Dependent Care Credit.

 

Questions:

1) May I also enter this expense (in the amount of $10,000+) in the "Medical Expenses" section?

2) It asks if the group home (where my father stayed) is an organization or a person. 

         The homeowner registered her house as a facility where she hires several caregivers to care for 5 elderly residents. Is this considered an organization or a person?

3) It asks if the group home is a tax-exempt organization.

         I assume that the group home pays taxes. But I don't know for sure. What is the implication of this question?