the death penalty is a good punishment to me for some cases. Of course for some case only as you won't punish someone for stealing a candy, so there must be a limit.
Yes, for petty hooliganism one can be imprisoned or sent to correctional labor. And for serious crimes you need to use the death penalty. So there will be less crimes.
It is no coincidence that the countries with death penalty (Singapore, Japan, Belarus, Saudi Arabia.etc) have one of the lowest crime rates in the world. On the other hand, countries such as South Africa, where there is no death penalty has the highest crime rates.
It seems to me that the statistics are not correct. The number of crimes is influenced by many factors. This and the presence of weapons among citizens, the mentality and the standard of living, religion etc. The presence of the death penalty will not stop crime. As the death penalty can stop an American murderer on Facebook if he at detention it was shot or how it will stop suicide bombers?