1/ You can change tags to real that you have on your site (Products > tags) and the search will work. We don’t have settings for the categories at this moment, all the categories display there.
2/ This is how sticky cart displays. Do you want to remove it or change the design?
There is custom CSS option http://prntscr.com/12m2sgb if you want to correct some styles but don’t use a lot, don’t forget that this is AMP version that does not accept a lot of CSS.
3/ It will appear if you add at least one widget to the appropriate widget area http://prntscr.com/12m2vmy
