Does a PM have the resources to do credit and criminal checks, check landlord references and apply standardized screening criteria to all potenital tenant applicants....Yes. 

He said he moved out so unfortunately that's no longer applicable.

They came to look at the place the same weekend, filled out application, gave me each two paystubs and letter from their previous landlord because when I asked for their reason for moving they said their place were being torned down for rebuild and that they have been living there for 9 years and the guy also work for the landlord for 9 years as well (too good to be true).

The application was different from most lenders.

Large application fees are a red flag, but in and of themselves may not mean it's not a reputable lender. 

Which one filled an application first? 

It is your money anyways and as long as you pay applicable taxes, I just don't see anyone questioning it.

Especially not us tax professionals.Here is an article by the universally respected Tony Nitti:https://www.forbes.com/sites/anthonynitti/2020/05/16/sba-releases-paycheck-protection-program-loan-forgiveness-application-a-deep-dive/Quoting, emphasis mine:"...the IRS took the shine off that “tax-free forgiveness” by recently issuing guidance that applies a decades-old tax principle to PPP loans; a principle which provides that expenses “allocable to tax-exempt income” are not deductible by the payor.

Paying rent, signing a lease, submitting an application - these are all basically eCommerce activities and you should look for a software partner that takes the tenant digital experience seriously and studies what makes them click.

Prior to making an offer ask for leases and the tenant’s application 2.