Premise:
"He meant the phrase as a metaphor but Jon wasn't sure he was wrong."
Hypothesis: Jon was certain the man was correct.

it is not possible to tell

Premise:
"On the other hand, while Armenian groups struggle for official notice, they are not yet requesting official apologies."
Hypothesis: Armenian groups are not requesting official apologies yet.

yes

Premise:
"Sinan's modest tomb, which he designed himself, stands in a triangular garden at the northern corner of the complex, capped by a small dome."
Hypothesis: Sinan's tomb is in a square shaped garden
no