Some more coins from Petra

Hi, I also just came back from Petra and passing lots of BS-coins I saw these 3 small coins that looked possibly genuine too me, but I might just as well been fooled, although the outer two look very weathered.


The two smaller ones (Greek according to the seller, but the two soldiers next to a standard look more Roman to me) are about 15 mm in diameter and the the outer right is somewhat larger (and thicker) one (Nabatean winged goddess according to the seller, looks Greek to me) is about 16,5 mm, all copper I think although bronze might be possible. Middle one has coin alignment.
Anyone has any info on these coins? Are they fakes or are they real and if so what are they.
If they are fakes I'll consider them just holiday memorabilia.

Mid and left coins are late Roman bronzes with the GLORIA EXERCITVS reverse.
The left coin also have a well visible Constantinople mintmark.

All authentic, the first two are Roman 4th century bronze, not sure about the last one but probably also 4th century. The middle coin is upside down, the name of the emperor is written on the obverse legend. As Giobruno said the first two reverse are GLORIA EXERCITVS. If you can read the legend finding the emperor shouldn't be hard.

Thanks for the responce, and very nice to know!
I'll know in what direction I should search now, almost sure the middle one is Constantine II and minted in Antioch.
Need better light for the other one from Constantinopel. The one with the goddess is still a bit of a mystery though.

I found this picture of a Nabatean coin that looks a lot like that one:
https://coinweek.com/ancient-coins/coinweek-ancient-coin-series-coins-of-the-nabataeans/
So it is really a Nabatean coin of the 2 ct BCE with Athena on one side, and a Nike on the other side.