he was called and appointed by God for a divine work
Yes , it is true, Jesus (AS) is believed to be prophet in Islam .
Nehemiah was a prophet in the old testament.
No
Haggai and Zechariah were prophets at the time of Ezra and Nehemiah. Ezra 5:1 Now Haggai the prophet and Zechariah the prophet, a descendant of Iddo, prophesied to the Jews in Judah and Jerusalem in the name of the God of Israel, who was over them.
No, Isaiah was a prophet. You may be thinking of Nehemiah. He was a cup bearer to King Artaxerxes the Persian King where Nehemiah and his countrymen were in exile. See Nehemiah 2:1.
According to the scriptural definition of a prophet, he is a false prophet.
If he makes claims that he is a prophet, he is a false prophet. Does he claim such a thing?
No, Pope Francis is not a false prophet.
Nehemiah, as he was the King's cupbearer
There were three Nehemiah's in the Bible. The most notable one was the prophet Nehemiah who served the Persian King Artaxerxes. This Nehemiah was the Son of Hacaliah, and brother of Hanani. For a full discussion on Nehemiah, see the attached link:
New False Prophet was created in 2000-01.
False