Can the application of the atoning blood of my Savior wash away my sins?You don't understand.
Works don't justify because they are in the law of Moses.
Works don't justify because doing them can not make you righteous.
Only receiving God's forgiveness, by having faith in that forgiveness, can make you righteous.
You along with many, many other people simply do not understand the gospel of Jesus Christ.
Or not?
If not, He bled in vain.