#1: an ancient Roman, as Echizento mentioned above.
#2: a piece of old play money, late 19th century, as described above by others. "1887" is probably not the actual date of manufacture, but it probably predates the death of Queen Victoria in 1901.
#3: An "Indian temple token", a religious medal or amulet from India. This one is indeed Sikh; Muslim and Hindu temple tokens are much more common. I think we've only seen
one on the forum before, compared with dozens of Muslim and Hindu types. "1804" is almost certainly not the actual date it was made; most of these base-metal temple tokens come from the post-Independence period (post-1950).
#4: A "false shekel". False shekels have a design loosely - very loosely - based on ancient Judaean silver shekels from the First Revolt period (AD 66-70). The original coins had a cup on one side and a bunch of pomegranates on the other. Over the centuries, the copies were copied and copied again, until the "cup" evolved into a steaming incense-burner and the "pomegranates" evolved into a depiction of Aaron's Rod. Yours is copied from the "Meyser shekel", but I'm pretty sure it is not an original 1584 example; a great many of these were made in the 1800s, including the degenerate copy of the 1584 date; see page 3 of
the American Israel Numismatic Association article.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis