Yes you keep your same email address. Email is run by the email provider and it does not matter what computer or where you access it from.
-- If you are the original poster (OP) and your issue is solved, please remember to click the "Solution" button so that others can more easily find it. If anyone has been helpful to you, please show your appreciation by clicking the "Kudos" button.
Yes you can. If you are concerened about old Email, and you are running an Email client, you may be able to export the folder, and import it into the new computer. It all depends on what software program you use for your Email.