Quote from @Samuel Guan: I don't know all the details, but your PM response seems weak.Just because the tenant claims something doesn't mean it is true or that they have a valid reason to break the lease.The first thing you should do is verify whether mold is actually present.

Are they verifying SCRA eligibility?

Verifying last 2 years of rental history very important!

If you are happy with the deal otherwise, I'd just get an HVAC company over there for an inspection (should be reasonable), explain the situation, and ask them to verify correct installation of the unit, etc. 

Should I call the recruiter/employer to verify employment?

Verifying last 2 years of rental history very important!

What documents do they require, what credit scores do they allow, how do they verify previous rental history, etc.?

Verifying last 2 years of rental history very important!

And anything over 31 (some cities do 30 so verify) days is considered MTR and typically has less regulations. - Short-Term Rental (STR) License - Littleton CO - The shorter the stay, normally the higher the revenue but also higher work with turnover, etc.You'll also want to check zoning laws to see if you can legally have it be a duplex if you move out. 

Verifying last 2 years of rental history very important!