Premise:
"The town is dominated by a Genoese fortress built in the 14th century, and enlarged by the Ottomans."
Hypothesis: The Genoese fortress was built in the 12th century.

no

Premise:
"I collected my remaining meager possessions from the shack and we left."
Hypothesis: After I gathered my remaining gear, we exited the ice fishing shack.

it is not possible to tell

Premise:
"Seeing us so suddenly must have given her a shock."
Hypothesis: They were seen suddenly.
yes