To clarify, this is part of the homeowners/renters insurance and not a PAP. This means that you are subject to the deductible on your policy, typically $500 or $1,000. Whereas in a PAP, the typical deductible is $0.
And yes, all your personal property is covered in your homeowners/renters policy. And it is good anywhere in the world. If you visit your cousin in North Carolina and your luggage is stolen while in your hotel room. It includes your laptop computer, your Mavic Pro, and $1000 worth of clothes. Your insurance will cover your computer (there may be a max limit on computers per loss), your Mavic Pro, and your clothes less the deductible amount.