Not only forgiven but removed as far as the east is from the west. What a beautiful promise.
Yes! If they were forgiven to this extent in the OT, why would anyone think they would be forgiven any less in the NT in light of the cross?
5But to the one who does not work, but believes in Him who justifies the ungodly, his faith is credited as righteousness,
6just as David also speaks of the blessing on the man to whom God credits righteousness apart from works:
7“BLESSED ARE THOSE WHOSE LAWLESS DEEDS HAVE BEEN FORGIVEN, AND WHOSE SINS HAVE BEEN COVERED.
8“BLESSED IS THE MAN WHOSE SIN THE LORD WILL NOT TAKE INTO ACCOUNT.”
Romans 4:5-8 NASB
Also, we have been given a new nature, a sinless perfect one.
2 Corinthians 5:17-21 Therefore, if anyone is in Christ, he is a new creation. The old has passed away; behold, the new has come. All this is from God, who through Christ reconciled us to himself and gave us the ministry of reconciliation; that is, in Christ God was reconciling the world to himself, not counting their trespasses against them, and entrusting to us the message of reconciliation.
Therefore, we are ambassadors for Christ, God making his appeal through us. We implore you on behalf of Christ, be reconciled to God. For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God.
And have been transferred into the kingdom of the Son God loves.
Colossians 1:13-14 He has delivered us from the domain of darkness and transferred us to the kingdom of his beloved Son, in whom we have redemption, the forgiveness of sins.
Our salvation is a done deal and God does not disown us when we sin.