Final answer:
The student is asking about John Proctor and Elizabeth's relationship in Arthur Miller's play 'The Crucible', but the text provided does not match the play. An accurate response requires the correct literary context, but broadly, in 'The Crucible', Proctor seeks Elizabeth's forgiveness and trust.
Step-by-step explanation:
The student's question seems to reference John Proctor's relationship with Elizabeth from Arthur Miller's play The Crucible. However, the excerpts provided do not match the content of The Crucible and seem to be from various other literary texts, including Jane Austen's work.
Therefore, I cannot provide an accurate response to the student's question about Proctor and Elizabeth's motivations without the correct context. In Arthur Miller's play, John Proctor wishes for his wife, Elizabeth, to forgive him for his past infidelity and to trust him again, hoping to restore their strained relationship. His motivations are guilt for his wrongdoing and a desire to rebuild their broken marriage.