You won't be banned on the new account, but just to be safe log out of your Steam, delete clientRegistry.blob, and change your IP. You are risking being banned once again if you hack on the new account.
OFF TOPIC:
When you are hacking with say, wallhacks/esp, don't make it look obvious. I always check every corner and hiding spot, even though I know exactly where the enemy is at, just to make it look legit (sad, I know.)