Good questions, Vulcanmccoy,
Yes, that is exactly the same bracelet as mine! Very nice quality lustrous button pearls. Each half drilled pearl is glued on a peg soldered to the middle of that narrow bar across the middle, a labor intensive job. I don't recall exactly what the original cost was, but over $50.
Silver cleaner, the dip kind, isn't good for pearls and likely would say so on the package. A dry flannel jewelry polishing cloth could be used very carefully to shine up the high spots, but many of us don't mind when the silver oxidizes. If you use something like the dry flannel cloth, when finished I'd then rinse under running water or wipe with a clean damp cloth and carefully dry the bracelet to make sure any residue was not left on the pearls. Don't immerse in the water, though.
The other bracelets appear to have no clasp and be on stretch elastic.
Cultured freshwater pearls are much less expensive generally, so designers tend to take more license with them, such as string on thread or wire or elastic with no knots. The usual traditional way is knotting between each bead, which prevents loss should the string or wire break, keeps the pearls from abrading each other and wearing away nacre and gives great flexibility to the design, allowing the piece to flow and lay nicely on the neck or wrist.