The address was submitted to their red book and now shows up online as official address when I try to ship items from Amazon or similar websites.

Pro: In addition to MLS access your brokerage might provide access to other resources such as detailed online assessment data not available free to the public. 

It’s smaller, a 2 bedroom 2.5 bath so doesn’t command as much per night.

Online title search companies.

Do I try to rent it for 8 days or more (MTR) but for the same price as I would a 3 night minimum?

I also have some properties valued over $1M and can go for over $1,500 a night in peak season. 

All your first set of questions can be answered by looking online or calling several local competitors.Your accounting questions though, show such a lack of basic knowledge that you probably shouldn't be doing this until you have more experience.

And yes, I think largely what I wanted was to never have to deal with the middle of the night call.

Sometimes you'll get a different answer than just applying online 2.

I keep reading different things online.