Background Checks Resource

I know when I run credit report on a potential new tenant I get a credit score and a list of who they owe and how they pay etc. but what exactly do I get when I do criminal background check? Will this information tell me if they are a sex offender, a drunk or a thief? I did some research on the interned and came up with a company www.quickbackgroundchecks.com that says their criminal background checks do search for sex offenders, DWI’S and what they call larceny (which is laymans terms theft). I just ran my first search with them and it came back with a sex offender!! and his picture.