Last week, the heater was spraying out black ash type debris.

You can start spraying regularly and urge them to clean and they will always clean to some extent and together you can defeat the bugs.  

Guys, I've noticed several houses in my city that have several LARGE red "D"s spray painted on them.  

Is it the responsibility of the PM to have the lawn(including spraying for bugs) and pool serviced? 

There are sprays that remove mold.

@Craig Hansen - speaking from personal experience.. the spray foam is worth it if you plan to hold onto the place for rental purposes for awhile. 

I spray it on let it sit for a minute or two and wipe.

We got rid of it with weekly anti-flea spray and daily vacuuming.

There is a spray you can buy to put on lawn but we have not found it effective.

If you use an LVL to carry the ceiling load then you won't have to upgrade the rafters for structural reasons but you will have to pad them down to get the insulation in unless you spray foam it which is very expensive.