I loaded the Clip before Render without any problems in Vegas just now. Don't have any problems with it. Do you right click and "Disable Re-sample"? Its a good idea for non-interlaced source content, so try that if you aren't.
As for your log files, they look fine, shouldn't be any problems. However it appears you were trying to set a very high bitrate but you didn't do it "right" i.e. wrong and it defaulted to a mode that works.
09:43:59: Using custom x264 settings: "crf =12"
09:43:59: The custom x264 command '=12' failed
09:43:59: x264: VBV maxrate specified, but no bufsize, ignored
09:43:59: ------------------------------------------
09:43:59: Video Encoding: x264
09:43:59: fps: 30
09:43:59: width: 1920, height: 1080
09:43:59: preset: superfast
09:43:59: profile: high
09:43:59: keyint: 250
09:43:59: CBR: no
09:43:59: CFR: yes
09:43:59: max bitrate: 132000
09:43:59: buffer size: 0
09:43:59: quality: 1
You tried to set a CRF of 12 with an advanced x264 command, but it didn't take because you have a space character between "crf" and "=12". Which is fine, because a CRF of 12 is way too low.
Also you tried to set a max bitrate of 132000, which is about 5 times higher than needs to be set. This setting also didn't take because you have CBR turned off.
So despite those two settings that may have messed things up, OBS defaulted to a CRF of 22, and therefore you didn't have any problems with too high of a bitrate. Lucky.
One more thing, the clip you posted isn't very conducive to being able to detect framerate problems even if they were to appear. A large percentage has cartoon-like motion and another large percentage is a black screen.