Hi Martin,
1. In very short: you can’t. The reason is, that recognizing mispellings would require either a very advanced linguistics feature (very processor heavy operation, and does not have universal PHP implementations), or a very sophisticated, dedicated search service (like elastic search or similar). Unfortunately these are way beyond the plugins capabilities. There is actually a plan for a feature with a different approach, that is sort of a combination of acceptable performance and accuracy – but still, is nowhere near the modern, dedicated solutions.
2. The results page layout is controlled by the theme you are using, so that needs to be adjusted there.