Apprentice
Very interesting rocks.
First rock:
I would not call that a part of a geode, rather part of a vug or cavity in the rock.
You need to do some hardness tests to correctly identify what is in it.
The milky white is probably chalcedony, micro-crystaline quartz, has a hardness of 7. You shouldn't be able to scratch it with a piece of window glass.
Are the purple crystals really purple or is that the light giving it that color. If purple then I would say amethyst. Same hardness, 7.
The brown stuff looks to be covering other amythest and the chalcedony. Could be lots of stuff.
I see a few green crystals also. What color is the longer dark crystal in the center of the photo? Again test for hardness. This time try a known piece of quartz. Several possibilities if harder than quartz. All nice.
The clearer crystal in the middle of the milk white material in the middle of the photo is the one I find the most interesting. Again see if you can scratch it with a known piece of quartz. But also look at the face that has fractures. I see perfect cleavage in three planes. Quartz would not cleave like that. Topaz would.
Second rock:
Do a hardness test. Can you scratch it with a coin, nail, window glass, quartz? Work your way up.
Kind of looks a little like calcite to me. Calcite is soft. If it is quartz you won't be able to scratch it with glass and the broken areas will looked scalloped out.
Third rock:
Sorry can't tell much from the photo. Possibly pyrite. Possible to have gold with it.
I don't see anything that looks like gold in the first rock