At 27:07 (shortly after Lisett started losing it 🙂), Chris mentioned comparing your conversion rate to the average conversion rate for a specific search term. Is the average found in the Product Opportunity Explorer while one's specific CR is found in the Search Query Performance report under Brand Analytics?
You can find the average conversion rate using product opportunity explorer, and your conversion rate under business reports - order session percentage
Yes sponsored display campaigns on ASIN's that are ranking for the keywords you are ranking for do affect ranking, through not as strongly as top of search Sponsored Product ads
We use single keyword, exact match sponsored products campaigns for rank. This way you can tightly control the placements and target more top of search, leading to better ranking improvements.