Hello,
1) To disable links go to Theme Options > Header > Enable top links (Register | Sign In) > Off http://prntscr.com/qxsek8 Unfortunately Legenda theme does not have advanced options for the header and there is no widget area to place content there. It’s possible only by additional customization.
2) All the available options for the product slider you can find in the Product element settings. There are no options you are talking about in Legenda theme.
Actually Legenda theme has a number of options but they are not very advanced. If you are looking for theme that includes all the settings you asked I would draw your attention to our XStore theme https://themeforest.net/item/xstore-responsive-woocommerce-theme/15780546 We could exchange Legenda theme to XStore if you like it. XStore has header builder, single product builder and live options module https://gyazo.com/81bf7ac865db13e6d89a210013104f46 , variation swatches and many other features. What do you think?
Regards