Hello,
1) Sorry but your screenshot is not clear enough to understand what you require. Please elaborate with the help of some more relevant screenshots to check it myself and help you out accordingly.
2) Please try adding the following Custom CSS in the Global Custom CSS area under Theme Settings >> Custom CSS.
.woodmart-recent-posts .recent-posts-time, .woodmart-recent-posts .recent-posts-comment{
display: none;
}
3) Please Go to Woodmart >> Header Builder >> Edit Header >> Edit logo and try to change the logo width. Then check back.
4) No problem will occur if you update the theme. We always recommend to use the latest version of the Theme and Recommended plugins.
Regards.
Xtemos Studios