The problem's profile

You can't create a second account on the same Microsoft Account. Either your Microsoft Account was broken or your other account is on a different e-mail.

I think you can move saved games if they haven't been updated since the console ban, meaning if you haven't launched/ played the game on the banned console since the ban.

How are you trying to transfer the GT between the two Xbox consoles? Are you using a USB Flash Drive configured as a memory unit?

Check to see if you have any corrupted data on the console that may be causing you an issue, this will be marked with a yellow explanation mark ! . To see go to System/Storage/Memory/ then look in, Game and Apps/Profiles/Demos, if you do find one just delete
it then return to dashboard and recover your GT again see if it the game will play.

Are you sure it is a profile issue? Are you playing off the actual disks? Do you have the games installed to the console?

How old is your console? How much use has the Dvd Drive had? Do the games work on other consoles?

-

The disk it could be dirty, you could try cleaning it with a micro cloth and some clean water, just rub gently in small circular motions with your index finger.

-

If cleaning it does not work check it for flaws like deep scratches, different die colours etc. If the disk is faulty you might need to replace the disk or you could try installing the game to your hard drive and see if it plays.

-

If it isn't a dodgy or dirty disk it could be your Xbox dvd drive.

Or it could your dvd drive lens (what reads the disks) is dirty or worst case scenario worn out from over use.

If it is a worst case scenario you may need to send it into microsoft to get the dvd drive fixed or go to a third party that repairs Xbox consoles (will void your consoles warranty if you have one) or fix it yourself (Which can also void your warranty)

Hope these suggestions are some what helpful with troubleshooting your issue and I hope you can get it sorted