IPhone restore from backup

I was restoring my new phone from a backup in itunes. However most of my contacts, files withing apps, etc did not transfer. I read somewhere that they not transfer unless you are on Wi-Fi. Is there any way i can re-restore from the backup now that i'm connected to Wi-Fi.

Select the 'restore back up' again

It's the big issue with iPhone, try to recover the delete file wit h some third party software of PC. Do Install Leo Privacy Guard also, so as to make your device totally secure.