You want to try and keep moisture level consistent around the entire perimeter of the foundation.

I hate the hollow sound of laminate and the effects of moisture so I won't use those.That is some cheap laminate from HD.

With the sub floor you need to check if it's really bad. you can take a moisture meter and see how saturated the levels are.

Also the moisture content in the home was high as the paint is separating from the drywall, and this can be a sign of mold growing in drywall.

I think what has happened is that the stone has not been able to breath and caused moisture to be trapped inside.

YOU have allowed the mold to develop by not fixing the moisture problem.

The inside people came to check the moisture level. the woman had 2 moisture meters, a small one, a bit larger than a remote control, and one with prongs on an extendable rod for reaching the ceiling.

If condensation has built up under the plastic your basement is not currently sealed and you'll have moisture problems you'll want to address (tiles, vapor barriers,sumps).

Don't get the engineered stuff because if you puncture the veneer and moisture gets in it, it will buckle and swell.

Seeing how these porcelain (infused with plastic} planks are installed, I don't see how the floor could be waterproof, as it seems moisture could easily slip through the crack between the tiles.