Dear Monica,
First of all, I’ll mention this is something a lot of people deal with.
Second, you mention that all you have is hope that we will be saved. Hope is one of the three theological virtues, though

.
Romans 5:3-5
Not only that, but we even boast of our afflictions, knowing that affliction produces endurance, and endurance, proven character, and proven character, hope,
and hope does not disappoint, because the love of God has been poured out into our hearts through the holy Spirit that has been given to us.
Hope is the pathway to eternal life, for it comes hand in hand with faith and love. These are not just feelings but are gifts of grace we cooperate with through the orientation of our wills. So if all you feel is hope, you have good reason to love and rejoice, for this is a fruit of God within you. We feel hope because we have faith in Jesus, so the presence of hope is a sign of the action of the Holy Spirit and the seal of our salvation

.
Monica:
but when I think of this while I have unconfessed sin, I sometimes feel so much fear, - that one day I would go to hell. I also have the same fear about other people.
Is this normal? or does this show distrust in God?
Well, it’s an imperfection. It’s one that I don’t know how we can choose to not have. People just grow out of that fault over time, through Christ’s guidance in their lives, for He gives faith as a gift in growing quantities rather than giving us all faith instantly. “To the one who has, more will be given,” as He says in the Scripture. I don’t know what we can do in the short-term except pray for more faith, hope and love, something we should always be doing (

).
Some things that have been very important to me to understand as I grow in the spiritual life are that I am very weak and very spiritually immature, but God sees my immaturity and weakness and is merciful anyway. He doesn’t expect me to be a canonization level saint instantly but expects me to grow bit by bit according to His time schedule, just as children grow to physical adulthood over the course of many years.
If God doesn’t expect me to instantly be at the height of perfection, but treats me as a parent would a child, understanding and caring for me even in all my faults, what right have I to demand more of myself than He does? We have to be merciful to ourselves because Christ is merciful to us, and we have to be merciful to others for the same reason.
We need to know that we are weak and this is to be expected, for we are growing children of God, only children and no more, but dearly loved as we are and being developed into God’s image one step at a time. If we know that God does not expect of us more than we have grace and maturity to offer, and know that He is looking at us as a parent would his children, we have cause for confidence and joy. And if we stop expecting everything of ourselves now and clobbering ourselves for our mistakes (as our parent never would), but instead treat ourselves with mercy just as Christ does, this makes life easier, more joyful and more peaceful. This also is a fruit of humility, for to treat ourselves with mercy, we cannot take ourselves too seriously. If we raise ourselves up on a high pedestal, it is hard to forgive ourselves, but if we consider ourselves to be weak and immature, it is much easier, for faults are to be expected rather than the horrible shock our egos make them.