Option 1,2,and 4 are correct. Judaism and Christianity's Roots are very similar due to both believing the holy books(Old testament/torah) and share the ancient stories(both coming from Israel) same language etc. Christians believe that the Messiah was Jesus and fulfilled the mosaic laws but Jews believe that the messiah hasn't arrived. Christianity really begins to expand forwards when the Old testament (torah) ends in the bible and the new testament begins.
