Is there going to be a second series of Loveless?

As far as I know, there is not going to be a second season. If you didn't like the ending of the anime, I would recommend reading the manga. The manga is quite a bit better in the first place and is still in progress. I assume it will eventually clear up all of the unanswered questions. Aside from reading the manga, all we can do is hope that there will be a second season someday.