Thanks, for sharing the issue.
Subscription entitlement and user name at top is obtained from user, who has signed-in, into Acrobat.
The name that appears on the top right side of application is as per the account settings of user who has signed-in.
You could change it, by going to "My Account"

You could update the name in Accounts->Accounts Settings-> Account holder name.
To reflect the updated name in Acrobat, you would need to sign-out and sign-in again.
Please note that as mentioned above, subscription entitlement will depend on sign-in user too. So, in case it is a shared/ enterprise machine and the signed-in user is not you, Sign-out/ Sign-in with your adobe-id, will change it to entitlement available with Your adobe-id.