What I see in the images is that any rust under there is the result of road debris hitting the paint and pock-marking it, which later resulted in what is seen there. Clean things off, prime, repaint as necessary, and then some sort of undercoating to protect the paint in the future.
In the later 1980s, GM put an "impact coating" on the lower part of the bodies of their cars. It had kind of an uneven-smooth texture and was painted over with body colors. Unless you were looking for it, it was not noticed. Something like that could be good to use on the lower body.
Enjoy!
CBODY67