I don’t think your list is exactly fair. I’ve studied Viking weapons, fighting arts and culture for a little while now and so far have found the show to be refreshing in its attention to detail. Not perfect, and I’m sure with some license, but seriously... Altogether it’s a reasonably fair presentation of historical Viking life. The combat sequences have been -far- more accurate than movie swordplay usually is presented.
In the history of the Church, not one apostate or heretic was ever punished by crucifixion. And on top of that made to appear like Jesus on the cross complete with a crown of thorns and a lance into the side.