Yes you can do any of these things. Amazon loves when you bring them more traffic.
Screenshot your cover and put on your webpage, maybe show off the interior as well, link to it and it goes directly to your page. You could use this as well on social media, send them to the link to your webpage and they get to see all you have to offer and you have ability with no limits to show off what you want to.
Even if you don't have a website. You could create a group for your books, people will see when you post about new books or older one's now and then. Share it accross many platforms.