The inspection period ends in a week and we already had an inspector come out to perform an inspection on both units.

Some require an inspector to check the work each time, with me as the investor paying for those inspections each time.

While I can understand that people would run away from mold, as long as there is solid, written proof that it has been taken care of they really shouldn't be any issue.If you wanted to, you can also pay for inspector to go through and show that there is no mold on the report.That's funny that Home buyers are running because it's listed, lol.

(Make sure there we no personal items at all in the space.)then during/after the inspection ask the inspector.

Agents will have inspectors they know/have worked with in the past as well if you need recommendations and have a network they can lean on if you need more specific inspections (e.g., sewer line, septic, pest, mold, etc.).  

(Although I'm getting conflicting reports and wildly variying estimates on post-move out quotes--from the same inspector!

This gives them a chance to move their furniture and belongings for you/inspector. 

I'm hoping a building inspector would not issue a permit using these plans for a different lot.

I also see a neighbor got code enforcement investigation from city inspector and applied a sfh- historic administrative to rectify their windows.Can applying for a single-family permit offer a workaround from historic planning for window replacement?

I don’t know your background whatsoever, but if you are a first time with not much experience, you should think twice about entering into an agreement where you are at the mercy of two entities (the program inspector & the tenant) that determine whether or not you are fit to get paid by them.