No, I think it was a different guy. He had a different and ridiculously long name.
Yeah, he was probably reincarnated. That's why they have the same actions and why his reincarnated versions keeps getting memories of Bin chan in the past.
He had visions of Binbougami because he had seen him somewhere during WWII. He says so. I think that the problem stems from the fact that they look alike, but according to Jugemu, he was born somewhat before Edo period or during the Edo period and it seems as the other guy's story also happened during Edo period. So if Jugemu was already alive he couldn't have been a regeneration.
ok so did the guy from the first story get reincarnated or something?