I haven't read the book, so I'm not sure if they got it right, but as someone watching the mini-series without any previous background, I thought it was well done. I'd recommend watching with subtitles because as others have said, the rabbits look similar and if you see the names written with the dialogue, the story and characters are easier to follow. The animation is pretty and it creates a nice world with its production design.
It's dark and probably heavy for young children, but I think the message is important so it's worth watching for that.