#2 are just wrong unless there is another later past event stated in the context.
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handtalk"The visit to that famous ramen restaurant wasn't my first time. In fact, I had visited there several times while I was in Japan.No, simple past is adequate there, too.
handtalk "while I was in Japan" in my attempt was meant to mean "while I was in Japan as an exchange student."That's fine in your original, but the collection of verbs together makes the reader a little dizzy. That information is just as clear in my version, since neither indicates that you were an exchange student.