Update: Good news: The asbestos is, apparently, just a strip of tape on one of the ducts. So that should be easy to remediate quickly, or to fix so that it's safe. And it's a duct pipe that's in an area we wouldn't be accessing normally anyways. Bad news: The landlord is trying to claim that they completely redid the bathroom, which is one of the places where the inspector found mold (right under the toilet). So, y'know, bullshit they completely redid it. :/ At least we know now, though, and we'll get dehumidifiers and other stuff to make sure there isn't any excess humidity building up in the house.