If the trust is what is called a "disregarded entity" (meaning it does not have it's own TIN and does not file a tax return) then the activity of that property is reported on your personal tax return. 

The Dominican Republic can be a great place to invest but, personally, Punta Cana would be the last place I'd invest in.Two years ago, during a meeting I had at the Ministry of Tourism in Santo Domingo, one of the head honchos there clearly told me "If I were you, I wouldn't invest in Punta Cana".

Rentredi is also a popular one (paid service) but I can't give my personal experience on that.

The property has been reported on the deceased's personal tax return. 

I'd always recommend flying out to where you plan to invest to get a feel for the market and to meet your team in person.

Never had to do this ever before  There are two ways to do this, google and find a template online or get a realtor that can use some promulgated documents by TR.Per law, no-one can write you a legal document except for an attorney or the person providing the document will be infringing the law.In terms of the tenant leaving there is no point to pursue any legal way and for you to get possession, you create a termination notice and then in 30 days you can take possession.

I would find real estate investing meetups in your area right away so you can network, in person, with other people to hear about how they handled their first landlording experience.

Keep your personal safety and that of your tenants and neighbors in mind. 

Maybe take a KPI online test, it will show the personality traits that are success indicators.

House hacking will also give you some personal "property management" experience.