But I want to understand:How quickly do rental units typically get leased?

Since tax bills are for entire parcels (typically, though not always) then it is highly unlikely that they somehow segregated the taxes for that small portion and paid it.

Its a whole different caliber of contractor you deal with in new construction (typically).

Just a case in point, the tiny apartment I live in (800 square feet) the mortgage payment is about 4000 per month, and the typical rent for such a place would probably be somewhere between 1500 to 2000 per month.

The typical days on market for these apartment are 20-25 days.  

We typically make calls every couple of days to see if the utilities have been cut off.

That's typically where I see people referring to entry fees.

They typically won't agree to that. 

Quote from @John Teachout: Title work is typically done as part of the pre-closing paperwork.

Most lenders typically require a 30% downpayment.