On this 1080p60 x264 faster attempt, you were overloading your CPU significantly:
09:13:51.448: Video stopped, number of skipped frames due to encoding lag: 7485/7579 (98.8%)
General Performance and Encoding Issues
On this one, you're overloading your CPU significantly and your GPU slightly:
09:29:00.454: Output 'adv_file_output': Number of lagged frames due to rendering lag/stalls: 33 (7.3%)
09:29:00.455: ==== Recording Stop ================================================
09:29:00.463: Video stopped, number of skipped frames due to encoding lag: 215/270 (79.6%)
GPU Overload Issues
You either need a lower resolution, lower framerate, or faster CPU preset. Or use NVENC instead. The default CPU preset is veryfast. You've moved to a slower preset, which increases quality and load, despite having a weak processor. You should be using veryfast or a faster preset (superfast, ultrafast).
For good quality local recordings, you should be using CRF (x264) or CQP (NVENC) rate control and a quality setting between 14 (high quality) and 23 (good quality). 2500 as a bitrate is much too low for 1080p60 or higher footage.
