I have a Surface RT ( as well as iPad, Android Galaxy Tab, Samsung 700T Windows 8 Tablet, and a Lenovo Thinkpad2) and I like it very much. As for your particular needs, it will work now with some caveats, and probably work better in the future.
1) Taking notes....probably the best device I have for taking notes...maybe a tie with the Thinkpad2 tablet. Microsoft OneNote is a wonderful application and with it connected to SkyDrive, is invaluable.
2) Scriptures....The official Church scripture application isn't available yet. There are a couple of 3rd party applications that are decent, but lack the full catalog of books and connectivity to the lds.org scripture notes app tracking, etc. I find I'm using my phone based scriptures more often these days since it is so fast. (Nokia Lumia 920)
3) Family Search. Family search works just fine on it. I use it to assist a Youth family history class (one of the reasons I carry so many tablets). The Surface is definitely the device that all the Youth fight over. The new Family Tree version of family search, however, doesn't implement touch for the surface yet.
Instead, it seems to implement the ubiquitous, but non-standard Apple proprietary protocol as it does work with iOS and to a lesser extend Android. I'm sure those family search guys are working on getting it implemented. The Surface uses the new web browser touch system that has been recently proposed as a standard to the W3C board and appears to have the support of all the major players, except Apple.
It isn't a deal breaker, however, since you have the trackpad on the touch/type covers that work well to navigate the site. The touch/type covers are great for doing this kind of work because the on-screen keyboard doesn't waste half of the screen space, giving you the full 10.1" of your screen. Doing family history on the Surface RT device is pretty awesome.
4.) You can actually download the church videos from lds.org and save them to a real file system for playback later. This has been very useful with the new Youth Curriculum.
Oh, and it prints. :-)