Start Skype, click on Skype > Sign out. In the signin box that comes up, enter your correct Skype name and password and sign back in.
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I WOULD LIKE TO EDIT MY PROFILE TO DELETE MY BIRTHDAY. Each time I think it's changed I log back in and its still there. How can I delete my birthday?
Go to your profile, click 'view full profile.' Scroll to you birthday. At the top of each dropdown menu where you enter your birthday is a blank space. Click that for each field, and it should erase your birthday.