For the first situation, you should refer to way1 to stop outlook from deleting emails automatically, and for the second situation, just refer to way2. Typically, there are two main situations that outlook delete emails automatically, one is you have checked the option to order outlook deleting the emails when you exit outlook, and the other is you make a regular rule to make outlook delete emails regularly. And here I would show you how to stop outlook from deleting emails automatically.
Sometimes, an automated feature can help you a lot in managing the emails in Outlook 2016, but one coin always has two side, you may find some emails you need disappear secretly, you could blame this on the automatic deleting feature in Outlook 2016.
How to Stop Outlook 2016 from Deleting Emails Automatically