I'm with ya that something should be done. If MY child was there, I'd want the least toxic approach employed. It's my understanding that the windows are locked-can't be opened. BTW, how were ya'll instructed to get out of the building in case of fire?
Yeh, roaches are a product of inadequate cleaning. Stinky clothes, plumbing leaks, etc can also attract them, not just food.
I lived in an apt once and refused to allow the monthly spraying. Never had roaches because I knew how to otherwise deter them. Just didn't want to deal with the health risks.
And the ceiling fans would definitely take care of the mosquito problem while sleeping.
Institutions that warehouse children always have a problem with lice, scabies, and other infectuous diseases, as well as pests.