Xbox Arcade games question:

When I first bought my 360, and downloaded arcade games with Microsoft Points, they were always the full game, not trial versions.

So why is it now, that unless I'm connected to Xbox Live, my arcade games are showing trial versions? How can I fix that? What if I don't want to get online to play my arcade games? Only when I get online do they show the full game purchased. When I'm offline, they all convert to trial versions.

Please help.

Isn't their a place on xbox.com were it tells you how to tranfer your old full arcade games to your new console?? this is real but i dont know the link.