Sentence 1: There was shouting, noise, and confusion around the corrals and Drew slipped past without pausing.

Sentence 2: Drew stopped and began shouting because that confusion was really fun.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: He smiled at her but she did not smile back.

Sentence 2: She was injured so she didn't smile back.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: and he had a similar experience to yours just i'm thinking it was last week or or it it it was certainly within the last couple of weeks

Sentence 2: He had a similar experience recently.
Is this second sentence entailed by the first?

Answer:
yes