RE swastika - it is my understanding the NAZI swastika was not only stolen from the good luck symbols, but the direction of the arms were REVERSED. I recall this from a vacation my family went on when I was little. I had a post card from a SW state, with a picture of a genuine good luck Native American swastika, and the arms were pointing the other direction. The card explained that.
Just a memory - can’t back that up with a link.
OK, yes I can. Just did a quick little dip and the art work here confirms the arm directions being reversed:
https://en.wikipedia.org/wiki/Swastika
Now that makes even more sense. Thank you