Obviously I can only speak from personal experience, but yes, I believe in God, and no, I've not turned my back on him. I don't hold him responsible for the actions of human beings, though I do appreciate the "suffering" question is difficult, and I don't offer any trite answers.
I can only look at the evidence of my own walk with God. He has been very kind to me, and answered many of my prayers when I've been in desperate need of one kind or another. But the people who hurt me in the past are his problem. Some of them have apologised to me, and some are unrepentant. Either way, they have to follow their own paths, and they are God's problem not mine. I chose to forgive them not for their benefit, but for mine. Forgiveness is not a feeling, it is a choice. It doesn't necessarily mean there aren't consequences, or that I would trust said people again, or even that I'd want to be around them. But it does mean I leave them in God's hands, so I can move forward.
I hope that makes sense. Again, this is purely my perspective and my experience. I wish you all the best, and hope you find peace in your own walk, however it plays out. :)