The grey bar at the top of your site is the WordPress Toolbar or Admin Bar. This is displayed, by default, for logged in users and is completely normal behaviour.
If your “WordPress Address (URL)” or “Site Adress (URL)” is set to http://box5466.temp.domains/~eternbf8 then this is the URL that will be used for all pages and links on your site – it’s a temporary URL/domain name from your web hosting. You’ll need to change the “WordPress Address (URL)” or “Site Adress (URL)” to your real domain name if you want the site to work from there.
As per the link that Dave provided above in his comment, you can read more about changing the site URL there – https://codex.wordpress.org/Changing_The_Site_URL
Note Both settings should include the http:// part and should not have a slash “https://wordpress.stackexchange.com/” at the end.