So let's start off with the "bugs", feel free to reply one by one if for some of them you need to investigate more, then soon i fix stuff the better. Issue #1 is the priority.
3. I then went to Woocommerce>Settings>Checkout tab and manually select the 2 pages I've created in #1 for Cart Page drop-down field and Checkout Page drop-down field and save.
What i can figure out is that in file shortcodes.css in map 'css' my styling had effect on the styling (line:#135) but again only on the home page. Don't know why there yes but not the rest.