Hi Soukous,
Are you trying to create a static home page and then designate a different page for your blog posts? For example, http://www.myblog.com/blog ?
To do this, create your page and then go to Settings > Reading and change the Front Page Displays to A static page.
Select your static page and your new page for the blog posts. All your blog posts will be moved to the new page.
I already have a static home page and a separate blogs page. I need to change the blog page as it was originally created with the wrong name (which is not good for SEO). I created a new blog page and designated it in Settings>Reading, but none of my existing posts showed on the new page.
What theme are you using? Where did you download it from?
I am using the Natural Theme from e404, downloaded from Themeforest.
What happens if you switch temporarily to the default 2012 theme?
I have not tried that. Is it safe to switch themes back & forth?
Should be safe to switch back and forth.
If you’re concerned I would just do a backup before making a lot of changes.