They can keep doors closed, or crack windows, or intentionally take plastic off windows, or intentionally cause the heat to turn off before the authorities show up to take measurements.

ALL plastic with proper slope will give you more trouble free use. 

The neighbor has pictures of the damaged wall before and after the owner personally removed about twenty asbestos shingles where the building had been hit and he has collected some pieces he picked up off the gourd and has put them in a plastic container.

Simply give them a written notice that says, the fire pit thing must be removed and it's not permitted for use or storage on the property,  And if they grill the grill use is to be 10 feet from building and set a storage spot for that when not in use.. also make sure they store the charcoal, and lighter fluid in a plastic bucket with lid, outside. 

Then we used thick plastic to section a room at a time as we proceeded.

Do you tape a piece of plastic in place of the broken pane or replace the pane.

There is enough plastic in the oceans without you contributing.  

Over concrete put down cheap 4 mil plastic sheathing as a vapor barrier just in case.

And should I tear out the tiles and drywall all the ceilings, cover/replace them with the decorative plastic ones from Home Depot, or paint them like I'm thinking?

One of you have a high liability exposure (plastic surgeon, for example), and you want to isolate the other spouse and his/her assets in case of a lawsuit.6.