Did you restore the Carbonite data to the equivalent folders on your Windows 7 setup?
My Documents to My Documents
My Pictures to My Pictures
etc.
If so, then there is a root folder for each, which is My Documents, My Pictures, etc. Take ownership starting there and it should ripple down through anything stored under there.
You may be interested in adding
Take Ownership to the right click Context Menu choices. Makes this a lot easier.