The underlined subject of the sentence the skyscraper that was built last year is a noun phrase.When determining the type of phrase, you first need to find its center, of the most prominent word. Here, the center is skyscraper, which is a noun, which means that the whole phrase is a noun phrase.
Kelvin is waiting for James. it is from Kelvin's perspective... he is clearly worried about someone who is going to turn up. James is the only person who is named.
