@attaylor,
No 1 could be several things, you can look em up
Azurite, Chalcophyllite, cyano trichite, or dumortierite. Each ahs special clues to it.
My first choice is the azurite. A quick way is to put a drop of MURIATIC ACID (BE VERY CAREFUL NOT TO GET IT ON YOUR HANDS OR LET YOUR KID EVEN NEAR IT)> The acid will cause the azurite to fizz weakly (its a carbonate mineral so acid on a carbonate is like alka seltzer in a weak acid). Same thing for cyanotrichite except its fizz is very weak. If it fizzes at all , Id say its azurite. There are many other blue minerals but the style of this one limits its possibilities.
If it doesn't fizz, can you see light through it?. Let me know and we can work on it together
2The second pic is called Cryptocrystalline quartz, most likely chalcedony. Its a common semi precious stone that is used for cabochons and tumbled rocks.
It was also used for tool making by the early native americans.