Shiva,A couple things to consider; Installation costs & maintenance for upkeep and repair Noise ( certain types of flooring are extremely loud)Real hardwood -one of the more expensive options -installation is time consuming as it has to be nailed down and then sanded/finished -biggest benefit in my opinion is that if your floors get trashed at some point you can always sand them down and re finish them Vinyl Flooring -cheaper than real hardwood -easier to install ( you can either glue it down or float it) - takes abuse fairly well especially moisture -while you can’t refinish vinyl if you float the flooring it’s very easy to pull it up and replace

Logic tells me to fix them both since the leak will eventually exacerbate the problem...not a matter of if, but when.If I fix only the plumbing, the slab may react and worsen possibly since I am removing the source of the moisture that caused the issue. 

I see so much flowers, seed pods and leaves, they sit on the roof and with the daily rain in South Florida the debris completely carpet that section of the roof in a matter of days, and with the captured moisture it causes the shingle nails to rust a lot quicker over time. 

Strip the bracing and forms off a newly poured basement, haul the heavy, moisture laden, filthy 9 ft sheets of plywood out of the excavated area up a slippery ramp and drop on the trailer.

Cast iron rads:- even heating- doesn't suck moisture out of the air- most people recommend keeping them if you have them as they are superior to baseboard or forced air heat. - doesn't require new ductwork.

You could use a moisture detector to test the area in question.

Given the fact that it has been almost 10 months since the water overflow issue, I can't imagine the bowing of the floor and the spots on the vent cover are from the moisture back then.

It would need to be a flow indicator type - the moisture sensor version would be useless in this application as @JD Martin pointed out. 

I'd just be concerned because it says moisture resistant but not waterproof -- hard to argue against your soaking experiment though. 

Install new Housewrap weather and moisture barrier.