And, again, I am the unreasonable one because "all their previous landlords" let them live off their security deposit.   

But don’t be surprised if the agreeable, meek, passive private lender turns into an over aggressive, unreasonable, terror when the first payment due is a couple days late.  

For instance, selling a $50,000 house and making $1,500 is not a very attractive proposition for an agent, but selling a 1 million house and making 30,000 seems kind of unreasonable as well.

I have had luck in the past with my realtor pulling the listing for a week or two, freshing up the listing and relisting at the same rate and getting it rented quickly.  2.5 weeks doesn't seem un-reasonable to me. 

Depends on the size of the house but that doesn't sound unreasonable.

Am I asking an unreasonable amount or am I selling myself short here?

They are very unreasonable.  

I don't think that is unreasonable. 

I don't see what is unreasonable.

However, the one ingredient in this situation that hasn't been present before, is the Fed tampering with interest rates to keep mortgages artificially low - unreasonably so - and now they've taken the foot off of the gas completely.