I just tested Monodice and it was surprisingly fun experience. I managed to win like 30 bets in a row @95% and then lost it all.
That virtual 1 BTC bonus is one time offer for new users only? And I will never be able to receive it back again?
Was it just "fun" money to allow you to test the site? If that's the case I doubt it's wrong to use another name. However I'm not sure so perhaps it's better to wait for confirmation...