Hello,
(Just a quick note, you might have more success asking these sorts of questions on our Tech Support mailing list, dspace-tech:
https://groups.google.com/forum/#!forum/dspace-tech)
I suspect that your discovery.xml has already been customized from the default (to add in these new, custom sort options). But, any customization to this file also does require a rebuild/restart of DSpace.
If you run into more questions, I'd encourage asking them on dspace-tech. We'd be glad to try and help out, as I know the number of configuration options can be very intimidating, and the documentation is not always as clear as it could be.
Tim