You are right...."Jehovah” Is not found on the lips of Jesus in the New Testament. Jesus addressed God as Father and instructed His disciples to do the same.
Jehovah's Witnesses will say that Jesus must have spoken the name Jehovah because He made His Father's name known. The question is, how did He make His Father's name known … by teaching people how to spell and pronounce God's name correctly or by demonstrating His Father's love, character and person through teaching, healing and sacrificing His iife for sinners.
The Pharisees knew and used God’s personal name, perhaps incessantly, but it did them absolutely no good because they did not know God as Father, nor Jesus as Lord and Savior.