Should Satan be punished?
If Satan had been excused or even authorized, before Christ (pbuh) came, to take people to Hell because of their father's sin...
If Satan had been excused or even authorized, before Christ (pbuh) came, to take people to Hell because of their father's sin, then there is no reason to blame him, let alone punish him. If, however, he was not excused, then there is no need to deceive him in order to holding him responsible for his transgression, because he is deserving of punishment and it will be meted out to him without doubt in the very Hell Fire that he is alluring the children of Adam (pbuh) to.
If Jesus (pbuh) did not establish evidence on Satan before crucifixion and he did not crucify him, Satan could say that he did not know that this man represented the ‘human side’ of God; and God had permitted him to take the children of Adam to Hell, Jesus (pbuh) himself being clearly one of them. In that case, the Devil could reasonably contend that he had no knowledge that God had been incarnated in the person of Jesus (pbuh). Had he known that, he would have certainly glorified him. Consequently, he can also reasonably plead for clemency for his crimes, and request that God does not punish him.
We could assume that Satan might say therein: "OH my God! This is the only human being that I have mistakenly taken his soul. However, I have the right to take the souls of people after him (Christ) as I did it before him, due to either their father's sin or their own sins." If what the Christians say is true, then God would need another pretext to hold Satan responsible for what he has done.