Yup. You have to believe that you've sinned and that Jesus NEVER sinned and then died. And you even jumped a step, you publicly confessed that you're a sinner! Wow!
But you've got to believe that Jesus was God's Son, 'the Word made Flesh.' So you've got to believe in God to believe He had a 'son.' Only through God could Jesus not sin, it's impossible for humans to not sin.
That's Christianity in a nut shell:
1) You're a sinner, along with everyone else in the world.
2) Jesus wasn't a sinner, He was the Messiah sent from God, and he died.