You can add key results in objectives that are visible to you as a logged-in user. The key result types are the same for all 3 levels of objectives, as explained here.
Key results can be added from the list view or objective detail page. If the objective is closed you wouldn't see an option to add KRs.
Create KRs from Objective detail page
Create KRs from list view
Whatever way you choose to create a KR, once clicked on add new key result option, you'd get the pop up to select the KR type as shown in the image below. Read When to use each type of KR - To do, Metric? for more details.
Edit or delete key result
A user who has permission to edit & delete a key result will seeedit &deleteactions on objective detail page, in list view on browse OKR page & on KR detail page. Images below show how can you edit or delete KRs from each view.