How does John and Jesus Fufil the Expectations of the Jews

Click to join the conversation with over 500,000 Pentecostal believers and scholars

In the Gospels, During the time Jesus asks "Who do men Say I Am"
The replies he got shows that the People of Israel, expected
Elijah
Christ (Messiah)
Jeremiah, or one of the Prophet
The Prophet"

We glean this from Matthew and Johns account.

 Matt 16 :13  When Jesus came to the region of Caesarea Philippi, He questioned His disciples: “Who do people say the Son of Man is?” 
 14  They replied, “Some say John the Baptist; others say Elijah; and still others, Jeremiah or one of the prophets
While they were Questioning John too the same thing is Highlighted

Joh 1:21 BSB “Then who are you?” they inquired. “Are you Elijah?” He said, “I am not.” “Are you the Prophet?” He answered, “No.”

My questions seem to be from this Verse

1. Were the expectations of the Jews in these Various Persons, separate from their Expectation of the Kingdom?
2. Who is "The Prophet" in Verse 21, since we know it is not Elijah
3. If the Expectations of the Jews on these 3 Persons are connected together to their expectation of the Kingdom.
   Drawing from Moses and Isaiah Then we have,
   *The Prophet Like Unto Moses
   *Elijah
   *The one who prepares the Way and comes before the Day of the Lord
   *The one who comes into the temple Suddenly.
   *The Messiah

How does John and Jesus fulfill these Expectations?