Top one is a basic rabbet plane.
I can't recall the name of those plow/plough planes with the fixed fence, but it would have been a specialty item for one purpose, such as planing the grooves for drawer bottoms in the front and side pieces of the drawer - or something similar.
And from your post title, "Molding planed," I expected photos of some cool molding profile that you had planed yourself by hand, rather than the tools with which you might do it.