RStudio is a standalone server for R that you use to manage queries against your database rather than let them go through the built in R servicing architecture that's built into SQL Server (and is a bit of a memory pig). I'm not sure what exactly Domino is. I think it might be a build or maybe it's the web server for Rstudio. Just not sure on that one.

Your RStudio isn't set up for AD connections. Now, how to do that? I don't know.