Backing up/restoring iPhone?

So I recently broke my iPhone 4S. Luckily we had a backup iPhone 4 (my brothers old phone)so I activated that one. The bad thing is is that the old phones screen was broke so they could only transfer my contacts to the new phone. When I got home I tried to move all my old music/apps to the new phone. I was able to backup my old phone and all the stuff got onto iTunes successfully. Then when I plugged in my new phone I entered it as a different name than my old phone. So when I tried to select restore from backup, the backup that I just did with my old phone did not appear. Then being the stupid person I'm. I selected another backup which happened to be my brothers. So now I have all of his stuff. How do I change the name of my new phone so I can restore the backup that I did?

Wipe the phone and start the process again

settings
general
reset
reset all

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