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It really comes down to what you are comfortable with, but if your agent is quality, he/she would have explained each item in detail and answered all your questions so you could determine how to proceed.  

If you are not purchasing using all-cash, speak with a lender to help you determine your price point and best investment strategy.Once you've got a better idea as to what type of deal you'll be pursuing & how it will be financed, connect with a local investor-friendly Realtor who can help you navigate the market.Best of luck to you moving forward!

Residency is where you sleep and determined by number of nights typically, but is also established by mailing address and drivers license.

Once you have that submarket determined, start building a team.

The latter will help you determine how sporadic the income is.  

As @Chris Mason mentioned you will now have the full duplex counted against you and your taxes will be used (usually after 1.5 years - you'll be using the leases prior to that) to determine income. 

We did not have the Internet and the 5 and 10 years to a Million in Real Estate books and courses.

I've looked into many systems; however, they seem to all require wifi connection to work, which isn't possible since tenants provide their own internet.  

The first three months would cover rent/mortgage, utilities (including phone and internet, since those are a necessity now),  and food.