Wearing the arm band as part of a role portraying a Jewish character during the Holocaust isn’t generally problematic.

The Star of David is a well-known symbol of Judaism. To wear or use one when one isn’t Jewish or isn’t in the active process of officially becoming Jewish is cultural appropriation. I’ve written in the past about this exact topic: Ask A Jew: Wearing the Star of David.

During Yom Kippur, we repeat Ashmanu and Al-Chet prayers, wherein we confess to a list of transgressions.

At a Jewish wedding, typically at the end of the ceremony (although the timing varies in different communities), the groom stomps on a glass, the glass breaks, and everyone shouts, “Mazel tov.”

During Pesach (Passover), there are restrictions on grain (wheat, barley, spelt, oats, and rye), yeast, fermentation, and any items that have previously come in contact with those.

In Judaism, they can never be considered outdated because they are not a symptom of the time.