If I buy a new BF3 in Origin I can play again?
I was banned a month ago, if I buy a new Battlefield 3 on Origin, I can play again?
Yes , you can.
but not on that account , you have to create another account.
It's depend on your ban type, GUID ban has been increased recently, the GUID was calculated base on your PC, and GUID ban would block(ban) your new account unless you change one or more part, so... check your GUID on those websites to confirm your ban type and good luck.
It's important you give him the correct information.
Jakaomo you have to make a completely new origin id !