Sportnugget
Looks like significant information.
You definitely have a video that was recorded with a variable frame rate which points to the HandBrake workaround. But...
Those are NTSC looking frame rates and are not consistent with that "Standard PAL" at the bottom of those frame rate readings.
Best, before HandBrake, work out the details of the Shadow Play recording. I do not know if you can force Shadow Play to record with a constant frame rate, but you should be able to clarify the NTSC PAL situation and then head for HandBrake.
Good job with this newest information.
Thanks.
ATR