Question:
I feel that after it was over, he realized he may have missed something.

Does it follow that "I feel that he was aware that he may have missed something, said the teacher after the test."?
Answer:
it is not possible to tell

Question:
No less impressive were the secular challenges.

Does it follow that "The secular challenges were not as impressive."?
Answer:
no

Question:
it was that bad huh

Does it follow that "Was it really that bad?"?
Answer:
yes

Question:
Notice the oil and wine jars in the shops, the bakers' ovens and flour-grinding mills shaped like giant cotton-reels (excavators found a donkey lying by one he'd been turning when Vesuvius erupted).

Does it follow that "Excavators found a giraffe laying by one of the cotton-reels."?
Answer:
no