You should join key forums and post these analyses up there, I'd be interested to see some of the members' reactions over there.
And I believe line black is parallel to purple/scarlett and light blue.
It might've been wiser to use this picture as your PAK FA case study, given there's less of an tilt of the actual aircraft from the camera. I think in this case it's still hard to tell if red is indeed parallel with white. But black is definitely parallel to purple.