Post a log of a stream and we can take a look at your settings to see if there is anything you could tweak.
Out of those logs, only one has an actual stream/record attempt in it and didn't show any issues worth noting.
Please post a link to a clean log file. To make a clean log file, first restart OBS, then start your stream/recording for ~30 seconds and stop it again. Make sure you replicate any issues as best you can, which means having any games/apps open and captured, etc. When you're done select Help > Log Files > Upload Current Log File. Copy the URL and paste it here.
14:56:03.044: [x264 encoder: 'streaming_h264'] preset: faster
Code:14:56:03.044: [x264 encoder: 'streaming_h264'] preset: faster
I would recommend putting that back on veryfast, as your PCs CPU is not able to keep up with the encoding. This is your current issue. You may need to also turn settings down in your game to free up system resources.