How do I recover my Home page?

I was trying to set up my portfolio on the home page (the first one that loads), and it seems that page has a post with a clickable url as the post head that will never go away, nothing deletes it…
I then went ahead and deleted the page (home page) to try to format a new one which could take my portfolio and have that useless post gone.
Now I can’t create a new Home page (the index, I suppose) and the site navigation doesn’t work as it should.
Is there any way I could bring the Home page back using “Pages” > “Add New” ?
I still can see the Home page under “Appearance” > “Menus”.

Thank you.