“Show off in front of a master” - lit. “show off one’s skill with an axe in front of Lu Ban”. Lu Ban was a legendary carpenter.

“Right Administrator, Adjutant Office Manager” - those seem to be titles of people in Lang Bailing’s Imperial Guard. All Guards in the capital had independent Left and Right counterparts. It was mentioned before that after Qiu Shenji’s execution people loyal to him were also disposed of, but that likely only touched his Imperial Insignia Guard of the Left. Looks like the same thing is now happening to the Imperial Insignia Guard of the Right.