That they have a daugther
Hester Prynne reveals to Reverend Dimmesdale that Roger Chillingworth is her husband. She discloses their secret marriage and the fact that Chillingworth is seeking revenge on Dimmesdale for his adultery with Hester.
After Hester firmly states that she will not reveal the name of her lover, Dimmesdale is shocked and struggles to maintain his composure. He urges her to reconsider and confess for her own salvation, but ultimately he does not push her further and respects her decision.
Some of the clues that Dimmesdale is Pearl's father include their physical resemblance, Pearl's strong connection and recognition of Dimmesdale, Dimmesdale's guilt and emotional reaction towards Pearl, and hints dropped by other characters such as Hester and Chillingworth. The reveal is confirmed towards the end of the novel by both Hester and Dimmesdale.
Yes, Chillingworth does try to persuade Hester not to reveal his identity to Dimmesdale. He does this because he wants to continue manipulating Dimmesdale's guilt for his own revenge. Chillingworth believes that it is in his best interest for his true identity to remain hidden.
Yes, Hester still loves Dimmesdale in chapter 17 of "The Scarlet Letter." Her love for him is deep and enduring, despite their tumultuous circumstances.
Chillingworth exacts a promise from Hester not to reveal his true identity as her estranged husband and to keep his true intentions towards Dimmesdale a secret.
Hester refused to reveal the identity of the father of her child, Pearl, and therefore did not disclose that the Reverend Arthur Dimmesdale was the father. She chose to bear the shame and stigma of her sin alone, protecting Dimmesdale's reputation and preserving their secret.
Hester
To get him to admit that he slept with Hester.
When Hester meets Roger Chillingworth on the peninsula, she tells him that she is going to make Reverend Dimmesdale aware of Chillingworth's true identity (Roger Prynne - Hester's former husband.)Hester says to Roger Chillingworth "I must reveal the secret. He [Arthur Dimmesdale] must discern thy true character, to discuss this matter with him, told him to be there for that discussion.
Rev.
Arthur Dimmesdale is the father of Hester's baby in The Scarlet Letter. However, this fact is not revealed until later in the story.