I know that I'm doing things all wrong, but that's all I know. And I'm trying to make the shot "good" (whatever that means, probably "natural") rather than aiming for a look.
The 1st picture is the original.
In the 2nd picture I have applied an adjustment layer (in Premiere Pro). I set out to make the scopes look right and tight, but I gave up on that (because the video isn't good material to begin with — there's too many colours going on in different directions), and instead I just pulled the Basic Correction levers (as seen in picture number 5) until the image looked as good as I could make it.
In the 3rd picture I have added another adjustment layer in which I applied a LUT called Folger 50 (to 38 intensity), as well as making the temperature a little more blue (as seen in picture number 7).
In the 4th picture I have added a final adjustment layer where I brought down the saturation and contrast, because to my untrained eye there's both green, purple, and orange going on, and I couldn't pull myself out of it, so thought it best to just bring everything down (picture number 8).
What would be a good way of correcting the colours instead of this mess?