I am not really sure where to start on this one.
I would say try and resolve the issues the the Mod on the OBS forum has explained.
Looking at your OBS logs below, within a span of 2 mins a lot of errors have happened and it has also tried to disable Aero which may cause the mouse to gitter ...
Without more concrete info on how to replicate the issue on my end, not sure what else I can do to help debug.
Regards,
Experts
04:41:01: Using graphics capture
04:41:01: Trying to hook process: archeage.exe
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
04:41:32: Using graphics capture
04:41:32: Trying to hook process: archeage.exe
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
04:41:33: Using graphics capture
04:41:33: Trying to hook process: archeage.exe
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
Warning -- GraphicsCaptureSource::AttemptCapture: Failed to inject library, error code = 5
04:42:19: Settings::Video: Disabling Aero
04:42:31: Settings::Video: Disabling Aero
04:42:38: Settings::Video: Disabling Aero
04:42:50: Using Window Capture