FreeMGS,
have you used this account to play games previously? Regarding the name - are you sure that the EA name of the account was FreeMG and not potentially the name of the connected platform accounts?
As I said, EA doesn't delete accounts - it's more likely, that the e-mail that you thought was connected to the account is not actually connected to the account. This could either mean, you were always using a different e-mail for that account or that the connected E-Mail was changed, either by you or a hacker.
How old is the account that you're missing and how old is this account that you're currently logged in with? Do you have a platform linked to your missing account? What games and platform accounts are linked to this account?