They want to place a doctor and their spouse for a few months which seems to check out.Since the lease will be in the name of the corporation, how do we do tenant screening for the actual occupants? 

Treat everyone the same - college student or doctor.

Tenant says to PM now that he got a doctor report which says he has mold in his lungs. 

While I’m no fan of realtors, and think they are often overpaid and under qualified, the idea about not being tied down is one of the dumbest compliant’s, in literally every other line of work, you get tied down, go hire a lawyer, you pay them by the hours, go hire a doctor you pay them by the hour, and you are not being tied technically, you could agree to pay two agents out of pocket, but of course no one does this for the same reason no one pays two lawyers.  

Generally speaking, this is exactly how it worked out for us: our rents are always on the top end of the market, we have very little turnover, and our tenants tend to be young professionals (doctors, lawyers, etc.), so we have zero hassles, with very few repairs during/post occupancy.  

Doctors and dentists have cash earning 4% in the bank.

Here's a profile of a builder and civil engineer "Doctor Hemphouse" who has built 60 homes with hemp: https://www.hempbuildmag.com/h... 

Example:-------------------Tenant A - Grandma Millie's Sewing ShopBeen in business 1 year, decently profitable, signs 5 year lease.Rent = $60,000/yearTenant B - Eye Doctor office.Been in business 5 years, quite profitable, signs 5 year lease.Rent = $55,000/yearTenant C - Subway5 year leaseRent = $50,000/year-------------------If I assign the following Cap Rates, I get these building values:Tenant A / 10% cap rate60k/.1 = $600,000Tenant B / 8.5% cap rate55k/.085= $647,000Tenant C / 7% cap rate50k/.07 = $714,000(or even $45k at 6% cap rate = $750k)-------------------I just made up all of these numbers.  

If high income individuals engineers doctors rent out property and people find out, are they more likely to get sued? 

But for some reason, doctors don't do it.