All Skype accounts are Microsoft accounts and they are all unique. What is the error you get when you try to sign in to https://account.microsoft.com?
Do you not know your password or lack access to your recovery methods? If you are currently signed into a different account (like your new account), sign out and back in using your Skype name.
If the account is open you should see a prompt like the below:

If the account is closed, you would get an error like the below:
The exception to this is trying to sign in with a live:prefix Skype name, which will not work and produce the same error.
