Customs for the year of mourning have been published.

A mourner leads all services except on days when Musaf is recited, in which case he does not even lead Maariv. The language on the tombstone should not be significantly different from those around it. It should mention the lineage to remind people of the predecessor and evoke a strong awakening, as stated in the Zohar. https://www.torahrecordings.com/rebbe/igroskodesh/011/007/3382