Sentence 1: and uh then you'd be willing to give up your job to stay home and with or stay with the children

Sentence 2: You will continue your career indefinitely, won't you?
Is this second sentence entailed by the first?

Answer: no

Sentence 1: They have your name--everyone has your secret name here--and parts of you." The conversation was suddenly less pleasant.

Sentence 2: "They've got your name -- everyone has parts of you and your secret name here." Suddenly, the conversation wasn't as pleasant.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Fool that I was not to have thought of this possibility before, and what a relief for us all.

Sentence 2: Everyone was relieved that that I didn't think of it earlier.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell