Unauthorised links – help

Could someone please advise: I’m new to WordPress, have recently noticed some strange spam links (to movie torrent sites) on my lifestyle blog. When clicking on the spam links and categories listed, nothing comes up. Strangely, this appears differently depending on how my site is reached.

When coming to the site via a Google search: i.e. just searching my name “alice byron”, or my site “alicebyron.com”, they appear as recent posts, among my actual lifestyle posts. But when reaching my site by typing the actual http://www.alicebyron.com web address into your top browser, they only appear at the bottom of my actual posts, as links to spam “previous” and “next” posts. Feel free to search to get an idea!

Would really appreciate someone’s help on this. Have searched forums to try and fix and struggling with all the coding language used as I’m a bit of a novice, and not sure if I’ve been hacked a lot. Have started by changing password to a stronger one. Help in more basic terms would be wonderful.