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Learning Miseches Rosh Hashanah 
Based on Kabala one is to study the four chapters of Tractate Rosh Hashanah, prior to doing Mayim Achronim before Birchas Hamazon, of each meal by Rosh Hashanah night and day. One is to intend that each chapter corresponds to one letter of the name Havayah.
Saying Tehillim after the day meal:
After eating the day meal one should return to Shul and say Tehillim. Some have the custom to complete the entire Tehillim. Some have the custom to read the Tehillim together with a Minyan and they do not stop from beginning until end.
Learning all one’s set Shiurim:
The Rebbe Rashab would learn all of his set Torah Shiurim [even in Nigleh] on Rosh Hashanah and Yom Kippur.
 Kaf Hachaim 583/3 in name of Shaar Hakavanos p. 90; Peri Eitz Chaim Shaar 25/7
 Chayeh Adam 139/11; Kitzur Shulchan Aruch 129/20; The Mateh Efraim 598/1 writes that after the meal one is to go to Shul and learn until Mincha and only if he feels tired is he to learn light matters or read Tehillim.
 Chayeh Adam 139/11
 Kaf Hachaim 583/38; Kitzur Shulchan Aruch 129/20 [“together with the congregation”]
 Reshimos Hayoman p. 270; Seemingly one is also to learn his Tehillim with Rashi on the first day of Rosh Hashanah as is normally done on every Rosh Chodesh. [Hiskashrus 947]