Thank you for your questions. Unfortunately this is best answered by a specialist who can pull up your policy and look into the details! Please give us a call at 1-800-531-8722 and an insurance specialist will be happy to address your liability concerns. Thank you!
If you find out that your insurance doesn't cover liability for your dog you can either get another renters policy that does, or cover that specific liability an other way.
I have a friend who got an animal liability policy (he has tigers) through an insurance company in Florida. While I am not recommending them - or not reccomending them- I have no opinion as I don't have a dog or tigers here is a link that is an example of the type of insurance agency you may want for animal liability.
It think they will also insure you against iceberg damage.