I'd especially focus on criminal record and prior landlords.  

I'm currently practicing as a criminal defense attorney but would like to move into real estate in my legal work as well. 

Have fair standards that you apply to all renters and applicants (income requirements, criminal background checks, identification and document needs, etc.).

If he does an act that creates liability for the property you are just as liable as him unless it is a criminal act. 

I am an attorney working in criminal litigation, prosecution, but I also have experience with landlord tenant law and real estate law.  

We look at how often people move.I only disqualify for evictions, income, and serious criminal activity.  

Is this a criminal, or a civil matter?

Just sounds like the branch president is doing a CYA.They want to show they didn't let you run wild so if something imploded later they wouldn't be seen as grossly negligent.Employees and board of directors at banks worry about their jobs and facing criminal charges if a bank goes belly up down the road.The bank is demonstrating prudence.  

Are they willing to:-take phone calls-screen tenants (credit/background/criminal/etc)-book appointments-show the condo-place ads/other marketingOr would they rather outsource all that work to an agent?

Those pull criminal, eviction, and credit.