No. People assume that only because the headmaster of his school happened to be a Death Eater. Viktor Krum was just a student there.
He also took no side in the war since it didn't really effect his country, he was however against Lord Voldemort.
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Viktor Krum was a student at Durmstrang.
Viktor eventually found love with a woman from his native Bulgaria.
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In the books it does not say who Viktor wanted to marry but J.K Rowling has said that when Krum returns to Bulgaria he finds a Bulgarian girl and marries her.
The Bulgarian National Quidditch Team's Seeker. He is also Durmstrangs champion for the Twiwizard Tournament in the fourth Harry Potter book, though Harry wins, of course (and Cedric along with him, I guess).