Both a verbs (a modal + a normal verb).
Prepositional phrase
That I am is a phrase, the individual words in the phrase are parts of speech. That -- demonstrative, determiner I -- pronoun am -- be verb
With your counselor is a prepositional phrase.
"Motel of" is not a single part of speech. "Motel" is a noun; "of" is a preposition. It is not a complete phrase - prepositions require objects.
CD is an abbreviation of a noun phrase - compact disc or disk.
They could be used as several different parts of speech. Typically the entire phrase acts as one part of speech... a noun phrase, a verb phrase, etc.
A phrase is never a part of speech, only a word.
Prepositional phrase
"to water the earth" is a verbal phrase- more precisely an infinitive phrase. It could be expressed as "to irrigate"
"Could be" is a verb phrase that combines the modal verb "could" with the main verb "be." It functions as a verb in a sentence.
The phrase "in addition" is a prepositional phrase in which "in" is the preposition and "addition" is its object. This phrase, as a phrase, is not a part of speech, although it may function as one, probably an adjective or adverb.
A prepositional phrase.
On the mountain top is a preposition phrase, not a part of speech.
That I am is a phrase, the individual words in the phrase are parts of speech. That -- demonstrative, determiner I -- pronoun am -- be verb
adverb phrase
verb
A prepositional phrase.