But now he is asking about a fluctuation on my other personal income as reported in my tax and inquires about a new address in my credit report.

Some markets are stable and don't fluctuate as much as others.

Don't worry about day to day fluctuations.  

If you only look at purchase price and exclude any other expenses (cap ex, closing, etc) and you're not increasing revenue or NOI in Year 1, then your cap rate and Cash on Cash will be the same.The cash on cash fluctuates from the cap rate in Year 1 due to added expenditures on top of purchase price (Cap ex, closing costs, etc) and changes in NOI for Year 1.

In the same county the tax assessments for similar properties fluctuate quite a bit and I have questioned values as well listed on the appraisers site in comparison to other properties of similar location, size, make, etc. being vastly different. 

If you aren't planning on selling your property, then the fluctuating value of the property during a recession shouldn't cause you to lose any money.

I use this for my pro forma initial estimates- When I get serious about a specific property, I'll pull average vacancy rates for the city as a sanity check, but averages can be meaningless if you're buying a specific property, the results can fluctuate a ton.  

That market is notoriously susceptible to broader market/economic fluctuations.

My credit score is fluctuating between 650 and 670.For the past 3 years I have been spending winter months in Los Angeles.

I've bought 3 homes in the past year, all traditional 30 yr fixed mortgages and my credit score has maybe fluctuated 5pts +- during that time...still over 800.