Emails in my inbox have disappeared
these last 2 days what was in my inbox have gone for no reason, both on my computer and IPhone.
When did you account to migrate to Outlook.com? If it was just in the last few days, it is possible that the mail is still being migrated from Hotmail. If that's not the case, and you can't find the e-mail in your Inbox, Deleted Items, or Recovery Items, then they are gone. Microsoft (nor any free email service) doesn't do backups.