MacOS is inherently a multiple-User system. if you choose to create only one user account, it continues to operate the same way.
When you invoke Migration assistant, there are MULTPLE options for bringing over your old files, and you are unlikely to have "accidentally" clobbered the newer files on your Mac unless you were really not paying attention when you did this. It puts up multiple warnings makes you take affirmative actions to overwrite your existing files.
What is more likely is that you have accidentally created an ADDITIONAL user Account, and imported the old files into that account.
User accounts on your Mac are enumerated and controlled in the User&Groups control panel.
User account Home folders are stored in the /Users folder.
First, check to see if your old files have been placed in a different user Account.