@Lvcasss:
1. can I remove Author information from posts?
— Just add the following CSS in “Appearance => Theme Options => Custom CSS” box.
.entry-meta .by-author { display: none; }
2. can I hide post’s featured image in category view? (“news” page in my site)
— For best option upgrade to pro and then there is option to remove it. But you can use the following CSS to hide it. Just add the following CSS in “Appearance => Theme Options => Custom CSS” box.
3. I use an image for header but with responsive design when I change window size the image don’t resize and the logo disappear. How can I resolve?
—- Background in CSS is problematic in Responsive design. So, it’s better to add the large header image from “Appearance => Header”.
See the link which explain about background image in css.
http://css-tricks.com/forums/discussion/16274/css-tricks-full-page-responsive-background-cuts-off-some-of-the-pic/p1