Are my Managing Agents behaving appropriately?

get legal advice. they are acting totally inappropriately and also illegally. They are not allowed to let you live in a house ridden with mold. If you need to pursue being compensated for things like medical bills, relocation, interference with your professional life (time off/late to work) then that is within your rights to sue them for ignoring your requests for improvements. Mold is toxic, even to people without previously existing health conditions. Get legal advice pertinent to your local laws and regulations.