Are you playing CoD on the same laptop that you're streaming with? If so, how are you using the Elgato? Using a capture card on the same computer you're playing your game on is generally a bad idea.
Second, you appear to have no video card other than the integrated Intel HD Graphics. There was another thread where someone's Intel HD Graphics just wasn't fast enough for playing the game and using OBS at the same time.
16:37:47: CPU Name: Intel(R) Core(TM) i7-2620M CPU @ 2.70GHz
16:37:47: CPU Speed: 2693MHz
16:37:47: Physical Memory: 4006MB Total, 2475MB Free
16:37:47: stepping id: 7, model 42, family 6, type 0, extmodel 1, extfamily 0, HTT 1, logical cores 4, total cores 2
16:37:47: monitor 1: pos={0, 0}, size={1280, 800}
16:37:47: Windows Version: 6.1 Build 7601 S
16:37:47: Aero is Disabled
I thought the i7-2620M would be a quad core/eight logical. If that's not the case and this log is accurate, your CPU might not be strong enough.
Looks like it really is just a dual core/four logical:
http://ark.intel.com/products/52231/Int ... o-3_40-GHz . That's unfortunate, 'cause the i7 2600k is a quad with hyperthreading, it just seems misleading.