Nice patio.

Here in Colorado, I have tried the "no pets allowed" with one of my patio homes, to very disappointing results.

Plastic is the only way to go.

There was one 40 ft. section that I built to 8 ft. tall because the rental house next door looks directly only my only outdoor patio space.The fence was constructed without a permit.

If you didn't use containment in the area where the work was being done (plastic sheets to isolate and contain dust/debris) then you may in fact have an issue that does need to be addressed.* Testing is the only way you're going to know for sure that the work was done sufficiently.* Testing is also the only way a buyer is going to be satisfied that they are getting a home without mold issues.Texas (where I live) regulates air sampling and remediation companies.

Is it patio furniture or the old couch picked out of the neighbors trash?

I generally replace the galvanized waste lines with plastic.  

Big materials are easy (Cabinets, Counters, toilets, etc.) but small materials like screws, glue, caulk, paint brushes, rollers, plastic, are hard to estimate and put into a category.

not burn paper, plastics or othermaterials. 

Dishwashers can be problematic, since there can be water in the drain area and they are pretty much plastic pipes.If water was drained from all supply lines and the water heater and toilet tanks, then you only have drain lines to worry about.