I do care about:Work history - I call the employer to verify income and tenure of employmentincome 3x rent.evictionscriminal - big offenses - sex offender, robbery, etc.  

He is actually off market, and I got him with a direct mail campaign, looking for this tpe of location...for the rght price.

Violent crimes, assault and sex crimes are certainly a serious matter.There was a case where a woman fired a gun at her abusive husband as a warning that wasn't even close but in his general direction.

In practice, my experience in residential RE is that the mantra should be location, size, and sex appeal.  

You should also check the sex offender database.

src=/program_offices/fair_housing_equal_opp/FHLawsBriefly:Title VIII of the Civil Rights Act of 1968 (Fair Housing Act), as amended, prohibits discrimination in the sale, rental, and financing of dwellings, and in other housing-related transactions, based on race, color, national origin, religion, sex, familial status (including children under the age of 18 living with parents or legal custodians, pregnant women, and people securing custody of children under the age of 18), and handicap (disability).

For credit report and single state criminal and sex offender record = $25 per person.

Comps, repairs, Hardship, neighborhood condition, How many sex offenders in the neighborhood, etc.

"The prohibitions specifically cover discrimination because of race, color, national origin, religion, sex, disability and the presence of children" http://portal.hud.gov/hudportal/HUD?

You may just want to go that route in case the conditions worsen and then you can get them out and not be bound by a term.If you can get some kind of pet fee and increased rent upon lease renewal, I say why not.I would put a pet addendum in the renewal however with name, breed, lbs and sex so the two dogs are documented.