No. Reuse is not an antonym of penalize. Reward would be an antonym for penalize.
Penalize is the correct spelling.
The abstract noun form of the verb to penalize are penalization and the gerund, penalizing.
Penalize.
You Penalize Someone.
The policeman told me that he would penalize me with a sixty pound fine and three endorsement points on my driving licence.
Penalize.
If you don't follow the rules, the teacher may penalize you by deducting points from your final grade.
You will probably be disqualified.
no
To impose countervention is to penalize those who have penalized you.
"Please don't penalize me for not knowing the rules." Which means: "Please don't [impose a penalty upon] me for not knowing the rules." The seriousness of the results of a crime often determines the severity of the punishment when the judge is deciding just how to most effectively penalize the defendant in the American criminal court system.