Tap on Edit, and turn Suggestions back on. This was the second row of icons you mentioned. Besides being able to turn the five sections on/off, you can also drag them into whatever order you like.
Warning, they no longer look like icons. Instead you've got some tiles. They take some getting used to, but they do offer more information.
If what you are missing really was in Favorites, your Safari Favorites folder may have changed. You can change that in Settings > Apps > Safari > General > Favorites.
The Favorites folder is part of your Bookmarks, and can be customized by going to the folder in the sidebar and choosing Edit at the bottom.