This is a list of a few Bible passages that I find particularly helpful and hopeful, in no particular order.
For the scripture saith, Whosoever believeth in him shall not be ashamed. For there is no difference between the Jew and the Greek: for the same Lord over all is rich unto all that call upon him. For whosoever shall call upon the name of the Lord shall be saved (Romans 10:11-13)
If we confess our sins, he who is faithful and just will forgive us our sins and cleanse us from all unrighteousness. (1st Letter of John, 1:9)
All whom My Father has given to Me, will come to Me and I will most certainly not cast out--I will never, no never reject one of them who comes to Me (John 6:37)
He does not crush the weak, or quench the smallest hope... (Matthew 12:20)
I am the resurrection and the life; he who believes in Me shall live even if he dies, and everyone who lives and believes in Me shall never die. (John 11:25-26)
Let not your heart be troubled: you believe in God, believe also in me. In my Father's house there are many rooms: if it were not so, I would have told you. I go to prepare a place for you. (John 1:1-2)
For God so loved the world, that he gave his only begotten Son, that whosoever believes in him should not perish, but have everlasting life. For God sent his Son into the world not to condemn the world; but that the world through him might be saved. (John 3:16-17)