Those large issues being the following:The basement that is mostly underground is unfinished and the house sits on the side of a hill, so when it rains, the water builds up around a few areas and eventually over time will penetrate the concrete blocks in the basement causing mold to grow on the wall and make the Drylok start to peel in the areas that have the moisture issue.

It will also protect anything under the concrete from being damaged by moisture wicking thru the tile and concrete.I don't know what kind of tile you have, but if it is glazed you will not be able to color it. 

But I am planning on linking the fans to a moisture sensor instead of the light in the future, because one of the mirrors has moisture damage since the fan goes out the moment the light does (and so to many other mirrors in the complex), and the fan is also continuously running at other times when it doesn't need to be.  

I HIGHLY recommend one with a thermal imaging scan to detect moisture collection behind walls and roofs.  

background - after almost a month of rain, original wood floors in SFH started to buckle due to moisture and poor condition of subfloors (pier and beam foundation). 

What advice would you give for a way to make this entryway last longer without major concern of the potential moisture issues and smells that come along with constantly wet carpet?

What advice would you give for a way to make this entryway last longer without major concern of the potential moisture issues and smells that come along with constantly wet carpet?

Vines in the house compromise the frame by separating the siding which lets moisture in. 

The basement is made of stone wall which my inspector says is prone to moisture getting in which turns into mold.

Over the decades, "leaky air systems", bad plumbing, years of moisture causing rotting wood are "termite magnets" for older mobile homes.