God sees our problems before we even get to them and already knows the solution. Knowing we are in His loving care, gives us a peace that passes all understanding. That is 'faith and trust' in His goodness and unconditional love for us.
As for sleep, when I do something physically challenging, like a long walk or dancing before the Lord, I sleep well. Also, as much as I love the Bible, if I start to read it in bed, I tend to fall asleep.
Ask the Holy Spirit to guide you during this time, he helped me so much a while back, He is real.
Btw, there are 365 mentions of 'fear not' in the Bible, one for every day, God bless you.