Attention: I'm not a teacher.
Nr 1 = Being somewhat short-sighted, she had the habit of peeringat people.
gaze (v) = to look steadily, intently, and with fixed attention.
Gaze is often indicative of wonder, fascination, awe, or admiration: gazing at the stars.
peer (v) = to look intently, searchingly, or with difficulty.
To peer is to look narrowly, searchingly, and seemingly with difficulty: peered at us through her glasses.
Nr 2 = Fog is one of the sailor’s deadliestenemies.
The persence of a "the" is a hypothetical cause for usage of the superlative degree deadliest.