Removing icon from articles

With reference to villacocobeach.com/ , please see screenshot attached, I am unable to remove the icon which gives option to amend articles directly to visitor.Despite the fact that I hide published date,created,...) in 'Articles Option' and edited in Menu items, the icon does not disappear.

Please advise

Best regards
Indira

The are also settings in article global options (options button in when you are in articles manager) and even in category settings.