To reiterate and clarify what echizento said: Yes, they appear to be genuine Ottoman coins. Yes, they have been "damaged" for attachment to ornamentation, most likely a woman's festive garments though other things were similarly decorated - a common fate for Ottoman silver and gold coins. They aren't ancient or mediaeval; while I can't see a clear date on any of the coins in batch 1 and only a few in batch 2, but they appear to be of the style of the 1600s and 1700s.
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