Why doesn't BLM march into the South Side of Chicago to protest the High Black on Black shooting death rates?

Because the thugs who live there would shoot them.

BLM apparently believes that some Black Lives just don't Matter, or they would use some of the 100's of millions of dollars they have extorted from businesses across America to address the high number of Black killings in Chicago and other cities.

that doesn't fit their destroy 2nd amendment narrative.

Yup, good idea, send antifa in too.

There is a predominantly-black church near me that does wonderful charitable work in the community..... I volunteer there a few days out of each month and have gotten to know the minister.

He tells me the only time BLM has contacted him has been to ask him for donations, offer his church rent-free for an event or to hang fundraising posters.  To date, he has received no offers of support or donations to his charitable works...

Why doesn’t breast cancer awareness groups fight against other cancers? Don’t all cancers matter? 

When you can answer that question, you’ll have your answer to yours.....and it’s not that hard to figure out buddy....This isn’t a clever critique

Black people who are killed by other blacks are not really dead.

Racial profiling is a prioritized issue. It's not feasible to protest everything (including white on white shootings) unless they are mass. And, most mass shooters are white. How come you don't bych about that?

They will handle their business and you too. 

They are more concerned with Blue on Black deaths and they keep getting reminders that the phenomenon is real.  Kind of like you tend to focus on how your local baseball team is doing.

Because Black Lives Matter ONLY against Confederate Statutes and when Criminals are shot by white police officers.

There have been protests against violence.  I bet you didn't even try to find any examples.   https://chicago.cbslocal.com/tag/anti-violence-march/