I am one of those that are for death penalty for some crimes.
most of what of the list you provided are not official. some of them are true and I agree with them and some of them are true and I disagree with them.
absolute majority of the death penalty in iran is for drug smuggling (not using).
when USA invaded afganistan the heroine trade boomed and wrecked a lot of families in Iran.
so the penalty is justified in the eyes of most iranians.