DtoC: You have mail, and I look forward to hearing from you.
To add to scruffy's info, no Sumo in Oct. (Only odd months.) - unless there is an exhibition. I have wrestler acquaintances, and could probably swing a morning visit to watch practice at their "stable." -Not horrifically exciting, although the food is always good! (A tip: Don't try to empty the pot, because they will just keep filling it back up!)
Baseball: I'm not up on baseball, but my coworkers are. I could find out scheduling if you'd like.
Kabuki/Noh: I lived in the birthplace of Noh for 3 years (Nabari - near Nara but in Mie). I've been to see Noh just twice, and the second time involved force! -Not many other countries offer 5 1/2 hour 3 Act plays! Unless you truly know what you would be getting into and desire it, I would definitely recommend spending those 5 hours somewhere else!
Kabuki has a bit more action, and I've been a handful of times. Costumes are colorful, movements are neat, and Kabuki is generally preferred over Noh ("No" is perhaps an apt name!). I've taken US client/friends, and delight in one friend's constant complaining about the whiny voices, etc., but there are some plays I like. (Definitely get the English rental headsets, as they explain much more than just what is being said.)
October is too early to see the Autumn colors - unless maybe you spend a day getting up to Nikko. Hakone is great, but mid-Oct seems early to me. (Otherwise is pretty spectacular.) If you're in Atsugi, Hakone is not that far. -Most baths are not excruciatingly hot, if you are interested.
Love hotels are a kick, too. Many books/articles have been written about the cheap, clean, funky experience that is a Japanese "Love Hotel." -Not sure who you're traveling with, and I am not overly knowledgeable in this area.
Yokohama/Kamakura are close and interesting (Big Buddha, Chinatown).
I lived in Kyoto during college, and it is one of my favorite places. Unfortunately, it's too far for you - as you no doubt know. (Noh? No!

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We can pick this up off the board - although it sounds like some here know Atsugi better than I - especially hotels. With luck maybe our schedules will match. --I'm still hoping at some point to confirm that FT posters are actually flesh and blood people!!