You can remove the unwanted Chinese characters under your search bar by removing them from your "Favorites" bookmark.
Here's the way to do it. (Quoting from the Apple Support people): The Favorites view is create based on a list of bookmarks in a bookmarks folder called "Favorites". You may remove the Chinese web sites from the Favorites view by removing them from the Favorites folders in Bookmarks.
1. Launch Safari.
2. Tap the "Bookmarks" icon to the right of the address view.
3. Tap the "Bookmarks" tab (the one on the left).
4. Tap the "Favorite" folder. You should see the list of Chinese web sites.
5. Tap the "Edit" button.
6. Delete the unwanted bookmarks.
7. Tap the "Done" button.
Note that if you want to add your own websites to the Favorites view, just add a bookmark to the Favorites folder while you're viewing the website.
Also note that changing the language setting won't change the sites in Favorites. The list of sites is created on first upgrade to iOS 7.