If you take the correct steps to address the existing mold, either professionally or DIY, and remove the source of moisture, then it should be good.

Due to the HERS requirement of spray foaming the basement along the rim/band joist, air flow was nearly non existent and with some moisture in the basement due to the old stone foundation, it became an issue.  

It doesnt draw moisture and if a bit damp drys back out well unlike fiberglass. 

The termite company said there was moisture (they did the moisture reading after they sprayed a whole can of foam, not sure if it matters) in the wall so it wasn't covered because there was no visible trace of termites on the soil outside (there is a brick privacy wall that butts up to the house). 

Insist they run the A/C for an hour to pull the moisture out of the house.  

Exterior will need $3-$4k, then once vacancies start, we will gut ceilings and address moisture issue in attic with venting, insulation, etc..

Tenant agrees to allow Landlord timely access to premises to do maintenance and repair.Tenant will notify Landlord in a timely manner of any damages or problems as they arise, including damages caused by Tenant, malfunction of appliances or fixtures, and water/moisture leaks and spots.Tenant will take care of the premises, keeping them clean and clear of debris.In your case, the tenant may have been oblivious to what was happening, or saw it and didn't care to tell you.

Basements have too much moisture and if a pipe leaks that carpet is toast.

it comes with a 25 year residential warranty, and it will hold up to moisture and water spills way better than a typical laminate.  

Did you need to add any underlayment or moisture barrier to that product?