From your logs:
Code:
12:00:08.299: Output 'adv_stream': Number of lagged frames due to rendering lag/stalls: 4156 (2.4%)
12:00:08.299: Output 'adv_stream': Number of dropped frames due to insufficient bandwidth/connection stalls: 30 (0.0%)
12:00:08.299: Video stopped, number of skipped frames due to encoding lag: 236/177039 (0.1%)
Lagged frames generally means your GPU is overloaded. Make sure you're capping FPS in the games you're playing.
Dropped frames is you connection, but this number isn't enough to really worry about.
Skipped frames means your CPU was overloaded, but this is not really enough to worry about either.
So, the primary cause of your issues is that your GPU is being overloaded.
Also, as mentioned, you have entirely too many game capture sources. You do
not need a new source for every game. Use the hotkey method of capture if you change games often. That many game capture sources in the same scene can, and will, cause performance issues.