Hello livelola,
Thank you for using Apple Support Communities.
I understand that you are trying to update iOS on your iPhone and are running into errors. I would recommend starting with the following support articles. The first specifically for update issues and the second for the restore screen you are seeing on the iPhone.
If you can't update or restore your iPhone, iPad, or iPod touch - Apple Support
If you see the Restore screen on your iPhone, iPad, or iPod touch - Apple Support
If you continue to have issues after using these articles, get back with us with more details about your issue and we can go from there.
Best regards.