Hi Peter! My name is***** am a computer professional with over 15 years of experience with both Mac and Windows computers, phones, tablets, and printers. It would be my pleasure to assist you with this. May I ask what happens when you try to login to SKYPE after having uninstalled and reinstalled? Were you asked to register or sign in when reinstalling?
If you can sign in to your Skype account, please follow these steps to retrieve your access number.
If you can't sign in, please let me know so I can help you with regaining access to your account.
Please give this a try and let me know how it works for you. If this solves the problem, would you mind taking a moment to rate my service? You can give your rating by selecting the stars located on the top right of the question page. I'd really appreciate it! Without a positive rating I am not credited for my answer. If this doesn't solve the problem be sure to let me know so we can continue troubleshooting.