I can give you a place to start, but you need to confirm with a hardness test.
Starting from the top and going clockwise-
Top one looks like fluorite, but may be beryl (aquamarine).
Next one is more than likely beryl.
The purple one is fluorite if it is soft, or a very dark amethyst if it is hard. (If it scratches steel, it is amethyst).
I don't know what the yellowish lump is, too many possibilities because staining can cause several different minerals to look yellow.
This could be agate or water worn beryl.
The next one is garnet or corundum. I am leaning towards corundum based strictly on the look of it (a low grade ruby). If it is corundum it will look fire engine red under a black light.
The last one is quartz if it scratches steel, calcite if it doesn't.
I won't guarantee these as all being correct, but I do supply minerals to several of the mines in NC.