Would I have any troubles owning these investment properties in different countries or would I have to confine my dreams to one single country?

You can literally text them a link on your phone and be done with it, and cozy will email you the report.  

You could check out cozy for background checks - tenant pays directly to them so you don't have to worry about it.  

Ive only had a few so far that are truly interested and so I have began the application process through the Cozy website with one potential tenant already. if I have more than one person complete the application process and pay for the background and credit check but only one person will ultimately get the place, so do I need to refund the applicants money that do not get the place after it is all said and done?

I want to use Cozy or something like it but want to know if I can mandate it in my lease rather than listing a mailing address?

nope, try cozy

We currently use Cozy in addition to Quickbooks Online .

@Bryan Feik we also tried Cozy and NowRenting was just easier for us.

For my rent collection I use the free online Cozy.co and set up account as my Land trust and the money will be deposited by Cozy to the bank account of my WY Series LLC.

I currently use Apartments.com as part of the transition form Cozy for rent collection.