One thing a good inspector will have is moisture detector, and temperature sensing equipment, that could tell you if something is leaking somewhere. 

Each day that the carpet was wet, it was treated with an antimicrobial solution and everything was tested for moisture and mold several times throughout the process.

The main things you want to look for or avoid in the area, in my opinion, is going to be Flood Zones, moisture issues in the crawl space (it's very humid), and maybe knob and tube wiring if it was built before the 1940s. 

The description says that the basement has areas which need mortar repairs, a leak in the chimney, and signs of moisture in the first floor bedroom, but you've allocated $0 for an initial repair investment. 

I had on a similar issue noted on one of my properties as a seller as there has been some moisture in a crawl in space and we gave a credit.

@Andrew SchraderRing Alarm Flood and Freeze Sensor https://www.amazon.com/dp/B07M943G7L/ref=cm_sw_r_sms_apa_i_ex3lEbD8K376BNotifies you of moisture or temperature drops.

You may want a slightly higher sheen (velvet) in the kitchen and bathroom where you may have more moisture and cleaning. 

Mold is caused by moisture and lack of ventilation so yeah thats the deal killer for me personally.

I just received a copy of the previous inspector's report, and there were some plumbing/electrical issues (that supposedly have since been fixed), high moisture in some areas (so we will need to do a mold test), and a roofing issue on the carport, as well as some wood rot and a few other issues.  

yep in your house. so in the summer time AC bills will increase and the house will smell like TIDE detergent while the dryer is on. if you have the units in a closet or area with a closed door all that moisture can cause mold as well. sorry, you really should vent it!