Many Palestinians, both Muslim and Christian, still speak Aramaic.
What language did Pilot speak? I'd bet it was Latin. What language are the scriptures written in? Hebrew.
Since Jesus read the scriptures and quoted from them we know that He spoke Hebrew.
I'm not saying He didn't speak something else in His day to day activities. I am just saying that He also spoke Hebrew (as all good Jews did) and possibly some Latin and Greek. (Got to speak to those foreigners somehow.)
GSA(P)