The first one looks like some type of agate to me. The second one resembles moss agate but I cannot tell for sure from the pic. Just my wild guess so take it for what it's worth.
Those look like nice pieces. Best way to take pics is to take them outside in the natural sunlight. With agate, you can "backlight" it with the sun to show it's translucence! It is much easier, (for me anyway) to identify something when the pic is taken outdoors in the sun. Keep in mind that if the piece is "shiny" that you don't want too much light reflecting off the surface or it will also make it tough to identify.
Need better images to make a positive ID. All images are too blue, and the size of the item is too small. See if you can take a closer picture in natural sunlight.