Chiba Lotte Marines play the Orix Buffaloes in Osaka Dome on Sunday at 1pm. The easiest way is to have concierge arrange the tickets. Japanese websites are notoriously bad and not English friendly. The train will get you closer to Hiroshima. There is no such thing as a bad baseball game in Japan. Most teams still allow BYOB except you have to pour it into cups at the entrance. That might have changed since COVID so have the concierge double check. You could also stop by Kobe after which is a great town that has a very international feel as one of the first cities that permitted foreigners to live there.
There is also the Suntory Yamazaki Distillery tour not too far away.
https://www.suntory.com/factory/yamazaki/Miyajima is a picturesque island to spend the night with lots of ryokan/traditional style inns although I can't imagine any that take points. During the day, it's ok but feels very much like a tourist trap with lots of selfie-stick wielding people. At night, you have the whole island to yourself including stunning views of the floating Torii gate. There is a place where you can learn calligraphy, tea ceremony and kimono wearing that is surprisingly authentic/not kitschy.
https://okeiko-japan.com/enIn Hiroshima, visiting the Atom Bomb Dome is a poignant experience you will never forget. A little further out, there is a nice day trip to a rabbit-filled island called Okunoshima. Its origins are also in WWII.
https://voyapon.com/rabbit-island-hiroshima/The shinkansen/bullet train gets you to the southernmost point in Hokkaido called Hakodate but there isn't much there. The rail pass covers the slow train from Hakodate to anywhere in Hokkaido worth going but it is a huge shlep that would eat up at least half a day. If you were going to Sapporo, flying is better but there's more to do in winter than summer. There is even an Israeli who owns a ski resort. Don't expect any discounts.

The Chabad in Takayama (technically Chabads plural but that's been covered ad infinitum here so won't elaborate) are officially closed at the moment. Since they were solely tourist facing, during Covid it made no sense for shluchim to stick around. Occasionally one of the shluchim will send someone there but afaik there is no weekly presence. It's a nice town and not that it matters but for whatever reason, it seems to only attract Israelis and very few if any diaspora Jews.