The first piece looks somewhat like Unakite at first glance but
when you look at it closer you can see that it is not. This
material is a pleasure to work with and takes a great polish.
I don’t recognize this material though it appears to be a brecciated
jasper healed by agate in-fill. Interesting material; do you know
where it occurs?
The second is green with what appears to be quartz running through
it. When it is polished, you also notice the presents of veins of
silvery colored metal running through it. My best guess would be
Mariposite or some type of Aventurine.
Looks like Mariposite to me, too. I checked a couple of sources
online which describe it as a muscovite
or mica, usually in dolomitic marble, often with quartz veins. The
mica could explain the silvery color you notice. The green is due to
high chromium presence.
Hope this helps.