The backup can't be restored, 5s

My iPhone 5s got in really bad stuck and I had to restore to the factory setting and delete everything. After that I connected my phone to iTunes through the computer and started restoring the backup. It started fine but the lasting time was getting longer and longer. I left my phone loading through the night and in the morning it said it would still take 17 hours. I needed to disconnect my phone because I needed it elsewhere. Nothing seemed to be happen but later that day some of my previous pictures just appeared to my phone, but not all. After that I have multiple times tried to connect the phone again to iTunes through the computer, but even that won't always work anymore. When it does work, I try to restore the backup and it start's normally until a while my phone shuts itshelf (without me even being near it). I have all the latest updates, there's no other USBs connected, I have restarted everything but nothing works. I don't have those pictures and some other information elsewhere so I'd love to continue restoring the backup but what I can do? Thank you 🙂