The Core i5-2320 is fine, your problem is the Radeon HD 6450. It is not considered a gaming card. Maybe you can get acceptable frame rates if you set all graphic option to minimum, but you will likely need to lower the resolution as well. Skyrim is dependent on both CPU and video card.
Below are benchmarks @ 1920x1080 with a Core i5-2500k @ 4.0GHz using medium quality graphics. Your performance will be lower than what is shown for the HD 6450 because your CPU is 1.0GHz slower.