Sentence 1: He wasn't in his own home, of course.

Sentence 2: He was at home.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: But a commonality among some of them was a decision all faced -- should they leave their jobs for higher-paying ones?

Sentence 2: None of them faced any kinds of decisions.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Reduced rates are available at many hotels through tour operators that specialize in Israel or through airlines as part of land-package arrangements.

Sentence 2: Lower rates can be found through airlines in land-package arrangements, or at hotels through tour operators that specialize in Israel.
Is this second sentence entailed by the first?

Answer:
yes