@ShoreBeing: Great that you center the footer menu.
1. You can add the following css in “Appearance => Customize => Theme Options => Custom CSS Options” box:
#featured-content, #supplementary { border: none; }
2. You can add the following css in “Appearance => Customize => Theme Options => Custom CSS Options” box:
#featured-content { text-align: center; }
3. You can adjust padding in the following css as per your need and then add it in “Appearance => Customize => Theme Options => Custom CSS Options” box:
#masthead, #site-branding { padding-bottom: 20px; }
4. You can add the following css in “Appearance => Customize => Theme Options => Custom CSS Options” box:
#search-toggle { display: none; }
#content .wrapper { padding-top: 0; }
5. You can add the following css in “Appearance => Customize => Theme Options => Custom CSS Options” box:
.page .entry-header { display: none; }
.home .entry-header { display: block; }