Hi, I was born with the last name Luzar in Slovenija. We were quite a large family and have since moved all over the world. I reside in Canada.
I agree that the last name is unique. However, there are still many Luzar names around.
I certainly can lead you to further your research. I had ancestors who lived in New York from 1909 or so until about 1917 about.
As a young girl I remember my parents keeping in touch with a family in Cleveland.
Regards Vida