When your on a person on your tree click the edit “ ________” details at the bottom there is “This Person is living” uncheck that they are living then boxes will come up that will allow you to put in their day of death. It can also be displayed in the box when your view if you click in the Show Box at the bottom “Life Dates” or “Life Years”
For marriage go to the Partners tab then in the drop down box you can pick to display dates of the relationship starting, Marriage, engagement, date of divorce, annulment or separation