As for cross burning and the first amendment, I thought this was interesting.
Cross burnings in the U.S. are “symbols of hate” that are “inextricably intertwined with the history of the Ku Klux Klan,” according to a 2003 U.S. Supreme Court decision written by the late Justice Sandra Day O’Connor
Harassment and threats were also involved.
As for cross burning and the first amendment, I thought this was interesting.