Hi Jeff, yes interesting pickup, well done! I tried to also find info on the poster but not much luck. I started with the distributor logo you mention. the 映 text in the Jewish looking symbol seems to translate to "film". Not much else to report at this stage! Image search of the poster seemed fruitless.
Thanks for looking into it, too, Steve.
The calligraphy, too, is the first word
(Ei 映) used when one is also talking about the Eirin mark placed on all JP posters from 1962 onward:
* image courtesy of LAMP
Armin also told me that there were/are many smaller film distributors in Japan, and (tho he could also not ID the company logo), thought it likely was from one of these smaller distribution companies. That the logo also comprises a black and white 6 pointed star, i dont think, has any Jewish tie.