Hard to tell from the photos of the front,looks like both were over heated and have melted areas.Can't tell what the metals are from the photo.
Looks like the stones are glued into the bezels,probably made for tourist.
Gem quality amethyst does have color variations,but they don't have color zoning.
Gem quality amethyst does have color variations and is a semi precious gemstone. The chain does not appear to be any type of jade.
The beads you have are agate,but you can see the white lines have worn off in areas.
Old domino with intaglio scrimshaw.
Looks like there are 2 halves of possible fake Chinese dzi beads.
https://www.worthpoint.com/worthopedia/antique-vintage-sterling-silver-1888261581
Bracelet could be factory made Harvey era piece,not sure what the stone is. The ring looks like "red" moss agate,no idea on the maker.
Is the "jade" pendant dirty or is there a lot of air bubbles in it? Jade can be scratched fairly easy.
Easy to use "Baldwins Patina".......... https://www.reactivemetals.com/patinas-chemicals
The blade is poorly acid etched,doubt it is rare.
Outside end of the bracelet.
Sloppy workmanship,looks like it was made by a beginner.
Dissolve the calcium/mineral deposits with vinegar,etc.
Possibly a stamp moistener.
Horn of Plenty · Cornucopia
Shine a light through the large round stone and tell us the color.
What is in the circled area? It looks like a blob of solder and the original maker would not have left it looking that way. [ATTACH] [ATTACH]
A closeup of the maker's mark would be helpful..... https://www.925-1000.com/mexican_marks.html
Separate names with a comma.