If that flooring was installed over a pier and beam slab or solid concrete could attribute to the problem with moisture. 

(this guy told me that it has been leveled before so it already has the beams it needs in place. 

I should probably also mention that aesthetically we are "old home" people - we love details like exposed brick, beams, etc. so we're not looking for an ultra-modern "cookie cutter".

The basements were jsut big empty concrete rooms with metal support beams, totally unfinished. 

@Brie Schmidt I found the following under the Massachusetts general laws defining condos:''Common areas and facilities'' shall, except as otherwise provided or stipulated in the master deed, mean and include:—(1) The foundations, columns, girders, beams, supports, party walls, common walls, main walls, roofs, halls, corridors, lobbies, public stairs and stairways, fire escapes and entrances and exits of the building;(2) Installations of central services such as power, light, gas, hot and cold water, heating, refrigeration, air conditioning and incinerating;(3) The elevators, tanks, pumps, motors, fans, compressors, ducts, and in general all apparatus and installations existing for common use;

Good point @Dustin Beam. 

Everyone picked their market for a reason and it's incredibly easy to bounce to the next shiny object instead of focusing like a laser on your targets.  

As for the building components, look out for undersized floor joists and beams, along with no footings.

I looked on the front I beam and can barely see some letters and numbers scratched in, but too faint to make out. 

Looking for a contractor who can handle structural work (steel beams, steel posts, foundation work).