Thank you dear escapist for these illustrations, these coins are always fascinating...
It's an opportunity to apologise and to correct the identification : I was wrong when I thought that the "qaf" with its 2 dots was the beginning of "Qandahar"

: this coin is a persian civic copper and the mint is "Qom"
قم , this is good news indeed, as it isn't a very common mint

The animal is well a horse galloping to right (and there is not other animal over it)
This coin is present in "Persian Copper Coins" from Bahram Alaedini