I'm having a problem making my home page. All title of the page publish are added in my header. Without any pages publish I can still see a link " HOME ". If I will make a page name " HOME2 " and use it as my front page, A link HOME and HOME2 will appear in my header.
Huh? If I think I understand you correctly...yes, the pages that you make will appear in the header if that is a function of the theme. (Most themes function this way). Making multiple pages "Home" is confusing. Your home page link will bring readers back to the main, or front page of the blog. That is S.O.P. Do not confuse your readers with multiple home pages. If you name a page "Home 2" it will not function as your home page, unless you set it in your reading options that way.