Let's clarify. Jesus died to redeem all mankind. Where did HE say you had to believe in him in order to receive that gift? HA HA all of the scriptures you quoted were written by OTHERS and were not the words of JESUS your redeemer. Some who wrote those bible books you quoted never even MET Jesus let alone had a conversation with him.
For God so loved the world that He gave His only begotten Son, that whosoever believeth in Him should not perish, but have everlasting life.
For God sent not his Son into the world to condemn the world; but that the world through him might be saved.
He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.
John 3:16-18
Jesus answered and said unto them, This is the work of God, that ye believe on him whom he hath sent.
John 6:19
And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day.
John 6:40
Verily, verily, I say unto you, He that believeth on me hath everlasting life.
John 6:47
He that believeth on the Son of God hath the witness in himself: he that believeth not God hath made him a liar; because he believeth not the record that God gave of his Son.
And this is the record, that God hath given to us eternal life, and this life is in his Son.
He that hath the Son hath life; and he that hath not the Son of God hath not life.
These things have I written unto you that believe on the name of the Son of God; that ye may know that ye have eternal life, and that ye may believe on the name of the Son of God.
I John 5:10-13