hey!
no :/
only with custom css, for example with this:
http://laythemeforum.com:4567/topic/9348/sit-carousel-captions-at-bottom-of-page/13?_=1718794871520
but you could also use the fullscreen slider addon. on the link you showed me you also have fullscreen images, so the fullscreen slider in horizontal mode would be better. the captions and numbers can then be put into the corners.
you would create browser filling rows:
https://laytheme.com/documentation/gridder-rows.html#use-browser-height-for-row-height
then you'd put images in there and texts in the corners. each one of these browser filling rows is then turned into a "slide" just like on the link you provided.
here, you could also add a button to a product: https://laytheme.com/documentation/buttons.html
3.: i think probably yes yea. but it cant be added to a product page. but to any other type of pages i think! using +more → +shortcode