The only other thing that I would like to do is to add a few lines of text before the blog, a bit like on your blog page
My Blog Page/Home page doesn’t have any text. Do you mean the text when you click on one of my menu items? Those are category descriptions since my menu items are links to categories.
Admin -> Posts -> Categories
If you want text in that area of your Posts Page then you can just edit your new home.php and add text there OR you could use the Before Content widget area in conjunction with Widget Logic.