Not much different than if it was a tenant and a neighbor who is not your tenant IMO - he said she said and drama unless somebody has some video or photo evidence to show. 

My lender said that he needs both evidence of the deposit and the first months rent.  

As you stated there was carpet present so it wasnt quite as evident as it should have been of the unevenness of the floor and carpet is pretty much one of the few types of covering you can put over it and get away with.

Really, all you have as evidence of clear title is that the seller says his father paid off the house.

I agree with Bill that you should start with the police, especially if you have good evidence/proof that you owned the air conditioners.Hopefully, this will be the wake-up call they need to see that you aren't going to just let them walk all over you.Of course, I'm spiteful...

(Evidently the listing agent wasn't able to get a new key out the same day.)

Looking at their website it is evident to me they are a brokers, not a lender.Not saying this a bad thing, but my first reaction is to wonder if this company understands commercial lending.

@Bryan, sorry yes 1.15...I've talked with a few lenders regarding commercial loan terms, and never have they had DSCR below 1.2; not saying it's impossible, but these days the lenders are looking for STRONGER loans, and higher DSCR (1.3+) is evidence to them of a stronger loan.

Keep your eye open for evidence of mold and termite damage - two costly repair items.

One unit appears to have had a grease fire on the stove and there is evidence of smoke damage on the walls.