You can rename an email list in your Email Marketing Subscribers area, at any time. This is particularly helpful when you've connected an email list to a Autoresponder, and decide later you'd like the list title to match your drip campaign title. Also, typos happen :)
Because your All list is your master subscribers list, you are not able to edit this list name. You will not see these icons on the All list.
That's all there is to it!
How Do I Delete An Email List?
How Do I Delete Contacts?
How Do I Add Contacts To A New List?
How To Create Lists From Search