13:25:40.774: Output 'simple_stream': stopping
13:25:40.774: Output 'simple_stream': Total frames output: 66145
13:25:40.774: Output 'simple_stream': Total drawn frames: 62728 (66215 attempted)
13:25:40.774: Output 'simple_stream': Number of lagged frames due to rendering lag/stalls: 3487 (5.3%)
13:25:40.777: ==== Streaming Stop ================================================
You're encountering rendering lag. No bitrate issues, no encoding issues (although turning off psycho visual tuning may help).
Rendering lag is a result of OBS not being able to capture the frames in time to composite the scene, and is usually a result of your GPU being overloaded/prioritized to the point that OBS doesn't have enough to work with.
You're on an older version of windows that doesn't let you turn off game mode. Update to the newest version of windows (the October 2018 update), and turn off game mode -- this should help significantly.
Past that, you'll want to limit how much of the GPU your game is using. Capping your framerate using vsync would be a good start, or by using a maximum frame limit if available... unfortunately, I'm not sure if Apex legends has this option.
