Very simple. The punishment should fit the crime. I think murder and rape should get the death penalty. I think there is a case for 'manslaughter' and other lesser categories that can avoid the death penalties. And you can differentiate between '1000% certain' and 'preponderance' of the evidence.
But I think those 'deflected' should have a permanent mark. Any future felony will result in the death penalty.
Also, I think prison is a useless punishment any more. I know people who are happy to sit in prison. They get a cot & 3 hots, which is more than they think they can get on the outside. It no longer serves as 'punishment'. Instead I think a good caning should be the judgement for many crimes. Keep in mind a 'good caning' means you'll be in a bed unable to walk for a month. That fits.
I seriously doubt those statistics. Can you give a link supporting it?
What a quick search found:
https://www.cbsnews.com/news/feds-49-of-murder-victims-are-black-men/
49% of murder victims are black. 93% of black murder victims are killed by other blacks. 85% of white murder victims are killed by whites.
https://www.dailywire.com/news/7441/7-statistics-you-need-know-about-black-black-crime-aaron-bandler
Blacks commit violent crimes at 7-10 times the rates of whites.
https://www.npr.org/sections/codeswitch/2014/05/03/308370643/whos-waiting-on-death-row
42% of inmates on death row are black. But the previous article said 52% of murders are committed by blacks. So actually I would say blacks are under-represented on death row.