yes.

Yes. The only unforgiveable sin is blaphamy of the Holy Spirit.

Yes, Jesus redeemed humanity of all sin in the eyes of the Father.

The popular atonement "gospel" you speak of here comes from Paul who said "Christ died for our sins." Jesus preached something very different (the Kingdom Gospel) which was not about sacrifice for sins. This resource will explain the difference between those two gospels http://gospelenigma.com ,and thus will explain how the forgiveness of sins comes to all mankind.

No. Only those we are willing to repent of. The atonement has no power to cleans us of sins we refuse to let go of.

Sin equals a falling short of perfection. Adam and Eve were perfect so had no sin...until they disobeyed God and brought death to us all... (Genesis 2:16-17) And Jehovah God also laid this command upon the man: “From every tree of the garden you may eat to satisfaction. 17 But as for the tree of the knowledge of good and bad you must not eat from it, for in the day you eat from it you will positively die.” So before that they had no prospect of ever dying... And as we know we all NOW KNOW ,we die...eventually...So we have INHERITED death, just like a faulty gene. A perfect man, Adam, cost us, caused us death...so it takes another perfect man, Jesus, supplied to us by Jehovah God, to BUY BACK for us the right to again live without death...in fact, living forever...AND on the earth...fulfilling God's promise at... (Revelation 21:4) And he will wipe out every tear from their eyes, and death will be no more, neither will mourning nor outcry nor pain be anymore. The former things have passed away.” AND proving... (Psalm 37:29) The righteous themselves will possess the earth, And they will reside forever upon it. Not everyone goes to heaven...

Jesus died for all sins, He carried the sins of the world on himself, but this is a gift,and you have to accept it in order to recieve a pardon.

Yes, Jesus' blood atoned for 'ALL' sin. Jesus can and will forgive all sin. There is no exception to this. You can through in the "Blasphemy against the Holy Ghost" if you want. Than claim this is the only unpardonable sin. They are all unpardonable, if you do not ask for forgiveness. If you totally turn your back on the Holy Ghost, you have committed the unpardonable sin. Yet, Jesus said... Ask and you shall receive, open the door and I will come in. IMHO, the unpardonable sin can not be forgiven due to the ability of the person committing it. Not of any limitations that Christ might have. Any sin you commit is unpardonable, until you ask for forgiveness, than (including the said unpardonable sin) if you ask from your heart Jesus is fair and just to answer.