I need to restore my iphone?

I have recently restored my iPhone from iOS7 back to iOS6. When it had restored it asked me whether or not i wanted to restore from a backup or set up as a new iPhone. Unfortunately it wouldn't let me restore it from a backup because my firmware was too old and recommended setting up as new a iPhone and then doing it from inside iTunes. However i can't locate my backup from my when my phone was last at iOS6. Please any ideas? I have really important photos and contacts i need to get back. Thank you

Added (1). Ideally i need to just restore it to this time last week. But when iTunes is only showing backups from today.

If you synced your iPhone with contacts, photos, music, videos, etc on your computer, then even if you restore to a new iPhone you can still rebuild it. You'll just have to setup within iTunes which stuff to sync.