How to retrieve my pictures on my iPhone 5?

Okay, I'm in a bit of a weird situation. I'm very new to iPhones and don't know too much about them. I had a 4s for a little while, and decided to upgrade to the 5. Before I did so I backed up all my contacts and pictures to my computer so I could put them on my new 5. When I got my 5, I didn't think to restore it right away until I needed my contacts or pictures, so I went ahead and took a bunch of new pictures that were important to me. So when I finally decided to restore my iPhone 5 with my 4s info, I didn't know that it would completely erase all of my new pictures I had just took. Right when I got my 5 I signed up for iCloud to back up all my apps and what not. So is there anyway to use iCloud to get back those new pictures that I had taken on my 5!

Did you backup your contacts and pictures with iTunes? If yes, you can get the backup in the right place. On different OS, iTunes backup located in different place:

Windows XP and the former
C:\Documents and Settings\Administrator\Application Data\Apple Computer\MobileSync\Backup\

Windows 8/7/Vista
C:\Users\Administrator\AppData\Roaming… Computer\MobileSync\Backup\

Mac
~Library/Application Support/MobileSync/Backup/

You can refer to thE source article to learn how to transfer iPhone contacts from iPhone 4S to iPhone 5.