Create custom WordPress theme

We need a custom WordPress theme. We have the website in plain HTML and we need this implemented into the theme. (1) Create a custom header containing our logo and 5 hard coded links (to WP pages) (2) The main page of the theme (the page the user see when entering [login to view URL]) should show a WP page (so it's easy to update the contents of the front page by editing the given page in the WP admin area) (3) On all pages there should be a sidebar showing the title and date of the last 5 posts, including a "read more" link, that links to the given post.