The news that Caroline was a Lycan was already widespread in the West Pack, it wasn't such a bad place to be in the South Pack. And that's why Caroline doesn't mind if her identity as a Lycan gets exposed.
For him, it was time for him to reveal who he was because from the start she wanted to do it but she always refused for several reasons. And this is the time, she said that he was a Lycan and she also said about the past of the Lycans too.
She trusted West Pack, remembering that she had told Jennifer to come here first. And she had also made sure that none of the people from the West Pack had anything to do with the events of the past. That was why he could easily reveal his identity and also intended to stay there for a while.