You're probably ok. I think the biggest issue with .ly domains was the Libyan government deciding that certain activities[1] were unacceptable on their TLD.

I don't think the Antiguan government is going to repossess anyone's domain names.

Also, I have to say that video of your ducks terrorizing the dog and cat is adorable and hilarious :)

[1] bare arms, etc. http://techyum.com/2010/10/official-vb-ly-link-shortener-sei...