The left appears to be a dyed agate. The center looks like an Akro corkscrew and the right one appears to be a slag.
To tell if the agate is hand-faceted, shine a bright light on it and look at the point of light on the surface as you slowly rotate the marble. If it's hand-faceted, the point of light will appear to skip or jiggle around. For comparison, do the same on a glass marble.