Bonzo, don't believe everything you read. All of that is out of the mouth of the head of the police union in Minneapolis and right wing politicians opposing the whole Black Lives Matter movement. Snopes sorted out the hyperbole from the facts:

According to court records in Harris County, which encompasses Floyd’s hometown of Houston, authorities arrested him on nine separate occasions between 1997 and 2007, mostly on drug and theft charges that resulted in months-long jail sentences.

My neighbor across the street has a similar rap sheet - it's a fact that once you're in the system, especially if you're from a dark race, it's easy to end up back in jail for things that white people would simply get a ticket for and go home.

And that whole fuss about the counterfeit $20 - there is fake money in circulation; every so often you hear about one being refused in a store. The move is generally to take it to a bank and hand it over so they can turn it over to the US Treasury for whatever research they do. $20 isn't enough for more than a petty crime, so the fact that a scared teen aged convenience store clerk called police means someone didn't get any training how how to deal with counterfeits. And having this kind of thing happen shouldn't result in the death penalty.