If he doesn't pass (and especially because of something REALLY bad in his past...previous eviction histories, criminal histories) better you lose both of them then accept him.And forget this "fiance" business.  

Many departments have a program where off-duty officers can be hired as security for events (they make sure the requesters are not criminals).Some landlords might be able to get this service for free.

Or at that point is it criminal trespassing and can have them removed?

When that PM contacted me, i learned that they knew that one of the tenants had a criminal record and still accepted these people.  

Report of propertyScreening processMonthly income is at least 3x rent Civil and criminal background checkResident ResearchCredit checkCheck cleanliness of carSubmit questionnaire AcquisitionProperties will be bought by, but not limited to private sales, listings on the MLS and foreclosuresCash Flow AssessmentTo Be Determined By PropertyInitial Cost:Loan:Rent:Mortgage:Repairs:Management:Taxes:CapEx repairs:Vacancy: Include your assessment of what could go wrong and how you would plan to handle problems?

-County appraisal data - Absentee owned, Probate-County District clerk (Criminal/civil data) - Divorce, Tax delinquency, Foreclosure, Felony convictions-Justice of peace courts (Lookup your Precinct) - Debt claims, Evictions, Small claims, etc..- Public real Estate Agent records - Many real estate agents are actually buyers (you can pull up their company info and match it with appraisal district data and identify cash buyers to build your cash list).

Once they are gone we can to do complete rehabs and rent to less criminally motivated persons?

If he chose not to get insurance, that’s his choice.For what it’s worth, I have a clause in my lease that actually addresses tenant’s personal property: “Tenant’s or guest’s personal property and vehicles are not insured by Landlord, manager or, if applicable, HOA, against loss or damage due to fire, theft, vandalism, rain, water, criminal or negligent acts of others, or any other cause.

My motto is the best offence is strong defence.

You seem to have done good due diligence and the offence is non violent or drug related.