Jenkins Remote Deployments

Yes there is ssh capabilities in Jenkins. You can add a build step for either running SSH or sending files over SSH (you have to define target server in config). Theres also a post build plugin for sending artifacts over ssh which can be used to also execute remote commands.

I'd recommend a book by John Smart which covers Jenkins setup. Its at http://www.wakaleo.com/books/jenkins-the-definitive-guide

I think you want the SSH Plugin for Jenkins. This will let you define SSH servers in your global configuration, and then define commands to be run before and after the build.