Your first picture is a rolled up top of a sardine can.
Your ring thing is e rein guide.
And your little bar with the bur sticking up is a thumb latch to a clip.
That's not a rein-guide, it's another form of horse-harness equipment called a swivel, part of bit-&-bridle-harness hardware. See the diagram from the 1909 Pierson-&-Hough harness supply catalog. Since apparently part of it is broken off, it could be any of the four versions of swivels shown on that page... but I think it's most likely to be the Dowlin swivel.
Attachments
horsegear_gag-chain and martingale_Pierson&Hough-1907-catalog_1_TN_photobyCreskol.webp