Nonprofit organizations who own property (real or personal) are responsible for property taxes unless they qualify for tax exempt status. Nonprofit organizations are not automatically assumed to have met the qualifications for tax exemption status in most states and must file information with local taxing authorities, who then determine their taxable status. Qualifying for nonprofit status under IRS section 501 (c)(3) does not automatically mean the organization qualifies for property tax exempt status in many states. In some states the nonprofit organization must own and occupy the property for which the exemption is sought (they can't use it for another purpose or lease it to others).
If you are the one renting the property you can not deduct this from your taxes. If you are the landlord you can receive a deduction on your taxes for owning the property.
Normally the taxes and insurance are included in the payment.
Yes
No because you own the property and you would be the that one that should be paying the property taxes.
When you rent an apartment the property taxes that are imposed on the property is billed to the owner of the property. The tax may be part of the total that you pay for rent.