Shalom Your Excellency!
When Ha-Shem spoke to Abraham Abinu he spoke in Ivrit, when He spoke to Yitzchaq and Ya'aqov He spoke in Ivrit, when He spoke to His congregation and His people at Har Sinai He spoke in Ivrit. All the Prophets communicated to us in Ivrit, except with parts of Daniel that are in Aramit, So all in all 95% of communications were in Ivrit. Ivrit is the Lashon HaQodesh. Hakham Shaul when speaking to the King of Israel set up by the Romans, the recond in II Lukas says that he spoke in Ivrit, why then would His Majesty King Yeshuah and his Talmidim speak any other language than the Lashon HaQodesh?
True, the Talmud and other Rabbinic literature are in Aramit, but it seems to me that Maimonides and R. Yosef Karo both returned Halakhic writing to Ivrit. So I bet anything that the original writings of the Nazarean Codicil were originally written in perfect Ivrit at the text of Matityahu, Markos Lukas and the Apocalypse clearly shows. This in fact was the discovery of a Baptist Pastor in Jerusalem when he retranslated the so called Gospel of Mark back to Hebrew.
"A Hebrew Translation of the Gospel of Mark"
by: Robert Lisle Lindsey
Jerusalem: Dugith Publishers, Baptis House, 1st Ed. 1969, 2nd Ed. 1973.
Hope this helps.
Hakham Dr. Yosef ben Haggai
I believe He spoke Hebrew and Aramaic interchangeably, as these were the language of the Scriptures as well as the times. Some say that He quoted the Septuagint, but this could be due to the fact that He quoted an Older Hebrew Text (other than the Masorete texts) that the Septuagint was copied from. And He more than likely would have had to spoke in the language of the woman at the well in Samaria what ever that is.