The adverb "indignantly" means to act angrily and with an air of irritation. Alice is offended when the March Hare and the Hatter cry out that there is no room for her at the table.
The word "croquet" refers to a game where players use a mallet to knock a ball through various hoops, or wickets, on a grass court. Croquet was popular in Victorian England because both men and women were allowed to play.
The word "bore," which is the simple past tense of the irregular verb "to bear," means to tolerate. Here, Alice conducts herself well and tolerates the Duchess's behavior.
The word "jury box" refers to the play where a jury or jurors sit together and listen to the presentation of evidence. Following the trial, jurors make a decision as to the innocence or guilt of the accused.