You seem to manage fine.

So you know though for future reference any purchase of DLC has usage restriction set for that DLC and those are simple to understand.

The item you are trying to download is subject to usage restrictions. You can use this item on the first Xbox 360 console you downloaded it to. Access to this item will also be granted to all users on this first console. If you transfer the item using a memory unit or other storage device, you will also be able to use it on other Xbox 360 consoles, but you'll need to sign in to Xbox LIVE with your Xbox LIVE account on that console before accessing the item

Activision tried to screw over the Microsoft user agreement to fit their agenda by disabling local license. They are also at it again with the June 19th update. Greed is Activisions top priority.