I don't know if and are antonyms, but anyway, unfortunately, many of these sentences are not natural, and do not work as you expect.
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Yes, this means "gave the sky a glance".
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I don't think this sentence is natural because usually means "not to be interested in something people should usually care for." (e.g., = he is indifferent to clothes). means 'interest/heed'. Better ways to rephrase the first sentence are , , etc.
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( see + ** settle** ) mainly takes intangible objects such as //, and means "to bear/keep in mind (for a long time)". It may also take tangible/animate objects, but this word refers to seriously looking at something with both time and care. I don't think that's what people normally do against an approaching tiger.
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This in denotes the reason for the action. You can say or , but I don't think is natural (to look due to fright??). Instead, you can say (to look at the tiger with frightened eyes).