He may find another way to be a nuisance, but at least that one will be closed off.If it persists and you have police reports, you may be able to use them and your existing lease to evict if your lease has terms about quiet enjoyment or criminal activity.

Oakland bans criminal background checks on potential tenantshttps://www.latimes.com/california/story/2020-01-21/oakland-bans-criminal-background-checks-on-potential-tenants1.

If your property manager has failed to remit funds they collected that is a crime and you should file criminal charges against their principals with the court commissioner. 

Things I look for, and include in my listing: no evictions or major criminal background issues, take home income at least 3x monthly rent (this is personal requirement, and higher than the typical rent = 30% of gross).  

SEC 8 ONLY screens for criminal. 

And if they apply and pay the cost I run their credit and criminal. 

I have the income requirement on the application now, but I'm curious if other PMs list things such as minimum credit score, eviction-free period, and criminal check history requirements.

No criminal history (or whatever level you are comfortable with)Speak with past landlords, employers and have a background check completed. 

They may not prosecute, but they will cancel a contract on the spot.

If you get a NOD in the mail on the first and you as the investor just make the first payments you eliminate all those expense. and you then prosecute your foreclosure on the second.Now if you and your friends are buying very low value notes behind very low value first that's a nother kettle of fish.