Yes, Jesus paid it all.
Not only that, but Romans 4: 4 says that the more you try to work for your salvation, the more sin debt you are accumulating that must be accounted for on Judgment Day.
Rom 4:3-5 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness. Now to him that worketh is the reward not reckoned of grace, but of debt.
Why is that? It would be like someone giving you the winning lottery ticket that they knew was worth 1.3 billion dollars. Then you say, "that's great.... let me help you with the cost on that... here's a dollar".
Or, in other words famously spoken:
Many will say to me in that day, Lord, Lord, have we not prophesied in thy name? and in thy name have cast out devils? and in thy name done many wonderful works? And then will I profess unto them, I never knew you: depart from me