Dear Andrija,
thank you for your reply. Checking on another browser, Chrome, I can see all the metadata is off, so it might be to do with the browsers I have been using (Firefox and Safari). I can see from checking the website on a smartphone the metadata is off there too. I ended up manually turning off the comments (under Settings > Discussion) and category metadata (with each individual post), but name and date still appear on the browsers I am using.