It's amazing to see how much wear some of those Vespasian bronzes have, considering none of those coins were more than 10 years old. Really shows how much economical activity there was in the area at the time, and that these bronzes were switching hands quite frequently.
They are from the Termopolium of L. Vetutius Placidus and his wife Ascula. It is a hoard of 1385 bronzes found in their shop in the actual Via dell’abbondanza. Coins are in the Museo Archeologico di Napoli.
I could be wrong, but I think this is the shop where this hoard was found. It was called a Thermopolium, and there was a sign talking about coins found there.
I have no idea about these coins, just green looking bronze coins, sworn by the gift shop to be real to raise money. Could they be valuable?
Can you make better pictures? Just balance your iphone on the edge of a water glass, camera down, and fill the screen like this:
It’s hard to tell from pictures. Can you tell us where you get these coins? Did you really get them in an Italian gift shop? I’ve taken students to Italy five times and cannot recall genuine coins being sold on site in gift shops, but perhaps I missed something, or perhaps you were just using that as an example. I cannot help with what looks to be the Greek coin, but a very tentative guess for the Roman coin is that it is a bronze coin of Vespasian. An as or sestertius; without a diameter measurement in millimeters, it’s hard to tell from the photos since I don’t know the types well enough. Below is a Vespasian sestertius with the MARS reverse from Wildwnds. The details do not match up, but it could be a starting point for you or others. Maybe @David Atherton could recognize the type or the type it is imitating if the coin is not genuine. I will let others determine whether they think the coin is genuine or not.