

on your identification of the first coin - SB 1496, Theodosius III (715-7), Syracuse mint.
(There's a bunch of very similar early 8th century Syracuse mint issues that are only distinguishable by monograms; on this one the monogram matches Theodosius III best, but there might be other options not on Wildwinds. As far as I can tell, the M flanked by palm fronds is probably unique to this series.)
I don't think the second item is either ancient
or a coin; I'd guess some kind of button, maybe 18th or 19th century.