Please clarify your question.

Is it sufficient to establish the existence of a man named Jesus of Nazareth?

Are the only two events—Jesus being baptized by John the Baptist and being crucified by order of the Roman Prefect Pontius Pilate (who served between 26–36 AD)—enough for your answer?

Or are you asking whether Jesus must have performed a majority of events described in the New Testament?

@AmmonLam I voted yes because I believe in the existence of a man called Jesus. But do I believe in God and do I think Jesus performed the acts described in the new testament? No.