Can’t change static home page

I’m using the kind of business theme which I am customising. I’m trying to remove the default Home page and it’s tab on the main menu. I want the blog part of my site to be named ‘Blog’ or ‘Journal’ not Home.

In the header file, I can put this:
<div class="header-title"><a href="<?php echo get_settings('home'); ?>/">Journal</a></div>

but it doesn’t alter the Home tab on the menu, it just adds another link on my header.

How can I completely remove the default home page in order to allow more customising?

Thanks in advance!