@SharpRose,
Why are you asking a bunch of strangers who have no connection to the inner workings of YouTube? You probably should be making appeals to YouTube.
Many of the YouTube creators I've followed - movie and anime reviewers - often get their content wrongfully struck down with content strikes. Some are because some content creators are more stringent than others. You have clearly come across this with your work and NBC.
When they know they'll have problems with an upcoming video due to the content creator they're reviewing has a reputation for striking down just about every passing video that references even a 1/4 second of their content? They move or host the video on another platform other than YouTube: Vimeo for example (where they have greater freedom as some other hosting sites aren't that eager to err on the side of saying a big network like NBC).
Then again, I'm taking your word at face value. Your claims that you make in your videos could be utter hogwash and NBC has every right to take down your videos for violating things greater than fair use law.
Or you can simply remove the clips and present your evidence in a different fashion: reenactments or animated scene recreations.