Christ's atonement did all of those things. But the primary purpose of the atonement was to reconcile man to God. The only way that could be done was that the penalty for breaking God's laws had to be paid. Since we were so full of sin ourselves, we could never do it on our own. Jesus paid our penalty. Jesus became sin for us. Jesus took the penalty of death in His atonement and through His blood and His blood alone we have remission of sins. This was accomplished once and for all on the cross and then Christ cried "It is finished" for it was. Now, when God looks at His children, He sees the blood of Christ which has washed us as white as snow. He does not see our sin. We are reconciled. Mission accomplished.
Though we do sin in life, our sin does not positionally separate us from God but does separate us in terms of fellowship with God. We grieve the Holy Spirit and grow far from him. Yet, we do not utterly fall for the Lord chastens who he loves (sometimes by taking them home).
Still the fundamental truth of Christianity is that Christ paid my debt. Christ paid the penalty for my sin. He was My substitute. His atonement removed all of my sin debt - past, present, and future. Positionally, I have been reconciled to God and thanks to Christ Jesus alone will be physically reunited with Him in Heaven where any glory I have gained on earth will be given back to Him - for He alone is worthy.
Have to run to a memorial service for a dear saint who has gone to meet the Lord; then have another church function later in the day. Won't be back on until this evening some time.