"the price for an item is too high" - not a noun phrase. Actually, this is a clause, as it has a predicate of its own. "a bottle of water while strolling" - not a noun phrase. "A bottle of water" would be a noun phrase (a phrase that has a noun as a headword), but "while strolling" is an adverbial phrase that describes the verb "buy". "The same brand of bottled water" - noun phrase. The headword is "brand", and all the other words cling to it and provide additional explanation. "a pair of athletic shoes" - noun phrase. The headword is "pair".
I think its a positive high school tradition it gives teens something to be excited for something new and different that haven't really experienced before
The correct answer is "her". This is because an antecedent basically means to whom does the pronoun refer and the pronoun has to refer to Miss Kensington. This is why the correct form is her.