Question 2: We might use flying cars one day
Question 3: My family and I probably won’t go to Florida next year
Question 4: people might live in space one day
Question 5: We won’t be able to travel next year. We can’t afford it
The term would be man vs. nature.
Man vs. Nature is when the character is against the forces of nature.
Breathing in the first sentence is a participle acting as an adjective.
The second sentence is an auxiliary verb. is and breathing make up the verb.
Breathing is ... go no further. Breathing is the subject of the third sentence. It can only be a noun or a pronoun when it is a subject. So here it is a gerund.