The lack of search suggestions in bar of adress and searching
As above - properly options have been set in settings.
If I understood correctly what you tried to write, seems the same FAQ as in https://forum.vivaldi.net/topic/21925/not-working-search-auto-complement
Some search engines don't have the suggest url filled. Vivaldi has only Bing and duckduckgo engines setup by default with suggest urls, not for Google.