15:56:15.697: CAM: data.GetDevice failed
15:56:15.697: CAM: Video configuration failed
15:56:16.000: gs_image_file_init: Failed to load file ''
The above shows your CAM (Webcam?) is not functioning correctly with OBS.
The above also shows you have an image not being displayed, not sure which file though as it doesn't state, only gives ' ' for the name.
15:56:19.082: - scene 'Top overlay':
15:56:19.082: - source: 'Skærm optager' (monitor_capture)
15:56:19.083: - source: 'Spil optager' (game_capture)
The above scene has two conflicting sources, you should never have monitor/display & game capture in the same source, this is quite likely the root cause of a lot of your issues, possibly the one below as well.
18:12:39.034: [game-capture: 'Spil optager'] d3d9_shmem_capture: GetRenderTargetData failed (0x88760868)
The above line indicates a conflict, perhaps an overlay that you have running (MSI Afterburner/EVGA Precision or similar)
20:09:12.993: Output 'adv_stream': Total encoded frames: 892691
20:09:12.993: Output 'adv_stream': Total drawn frames: 892691
20:09:12.993: Output 'adv_stream': Number of skipped frames due to encoding lag: 15 (0.0%)
20:09:12.993: Output 'adv_stream': Number of lagged frames due to rendering lag/stalls: 364 (0.0%)
20:09:12.993: Output 'adv_stream': Number of dropped frames due to insufficient bandwidth/connection stalls: 2398 (0.3%)
Do you cap your frame rate in-game? If not doing so will assist you with your encoding & rendering lag. If you already do then you need to lower your in-game settings slightly.
You have some bandwidth issues going on, you need to drop your bitrate a slight amount.
Below is a link to a guide created by
@NerdOrDie:
https://obsproject.com/forum/resources/full-video-guide-for-obs-studio-and-twitch.377/
It contains some great information on configuring OBS for streaming.