How to remove page title and search icon?

Hi all, I think Fotografie is a great theme and it is ideal for the very simple site I am making. I would like to remove the search function from the website and therefore to remove the little search magnifying glass on the right-hand side. Is that possible? Also, I would like for the title of the home page ('Home') and indeed any other page I might create, to not be displayed, and just to keep the content of the page displayed. Is that possible? Many thanks for any help, Rory.