And may even get some cash back from the old lender (prepaid tax and insurance in escrow) depending on the type of lender and timing of the Refi.  

Prior to the call have the reports send out to you - this can be achieved via virtually any property management software these days by selecting an existing report or creating a custom one and setting up a frequency of the report being sent to your email.The reports should include rent rolls, income statement, balance sheet, general ledger, accounts receivable (rents received and/or pre-paid), as well as monthly bank statements reconciled against your property management account.2) As for which ones are the most critical ones, it depends  when you have purchased the property and where you're at from a re-positioning stand point and how many units (percentage-wise have been turned around).

However, tenants at other properties may not have checking accounts or may only have pre-paid debit card accounts.

With a non-refundable deposit, it seems awkward to ask for another deposit at renewal time.To Lynn's point, I can definitely see how a tenant could take the mindset that they have "pre-paid" for the right to cause pet damage.

Would you rent your house out to a local 18 year old for two nights during the peak of high school prom and graduation season who may or may not book using a pre-paid visa gift card?  

If you refer to your lease, it will probably tell you that pre-paid rents (in this case they would be post-paid rents) cannot be used for damages or considered as security deposits. 

Here's something to consider- there's a company called Legal Shield (formerly known as Prepaid Legal Services).

Maybe you can install a pre-paid card system to avoid that. 

Disregarding the tenant quality, as an example in Florida prepaid rent must be held in a segregated account and drawn on as the rent comes due.

Can you place the prepaid rent in legal trust?