There seems to be no way to limit the search to a specific folder, ie. you archive or inbox.

The suggested/autofill for search doesn't seem to consistently work - it sometimes doesn't return autofill/suggestions as you start typing (or will only present suggested searches after you conduct a keyword search and click into the search box again) but sometimes does and when you start typing a contact it doesn't always return a search for messages from that sender.

When people are added to Favourites for search, it doesn't include emails that are in different folders such as sent items.

When searching in the search bar, remove results that are labeled "deleted item" and add an option to search the deleted items, if need.