My perspective would be that they are trying to hide something that will likely cause me liability.

Sure, it causes extra damage to your building, but you could charge more rent also.

They have accused me of endangering their child because of a poorly functioning AC unit, the cause of which was from them failing to change the filters for 45 days. 

Does the lease have a provision requiring the tenant to pay for costs to repair damages caused by the tenant or other occupants?

It suggests (no real idea) that after purchase, you are all in and if a tenant left immediately, it would cause a problem.- Vacancy during renovation- Closing costs, legals, accounting (bookkeeping and taxes preparation).

On the other hand I've never seen anything walking these rough houses that caused me to say no. 

What are some factors that could cause these percentages to fluctuate?

Housing Units - 105,987 - 10% OC (CON: # of Units outgrowing # of households causing lower demand?)

@Shanequa J.When the buyers bank does a title search and sees the real owner is not the person listed on the sale contract, this will cause an issue. 

So let's say you serve the P or Q and they bring their account current, causing you to stop the eviction process.