1.
Speaker Boundary Interference Response SBIR GIK Acoustics
2. Not necessarily, but I think equilateral is a good starting point; at the very least it gets people to open up their mind to greatly increasing the spread; lots of folks have the speakers way, way too close.
3. Only if it sounds better. Try this for fun: Just run stereo only. Personally I might experiment with pulling them out forward even further. It very well might sound better with speakers closer together, I didn't realize how close you were; this also depends on what speakers you're using. See where you get the best imaging; it sounds like the singer/music is plop right between the speakers, and perhaps sounds like it's coming from behind the speakers. At least you will know where the best stereo positions are. IMO you can pull the speakers further out though, because it seems like you probably run a center speaker 99% of the time; it can fill the hole left by speakers that are too* far apart.
4. It sounds like you're already doing due diligence with sub placements. I would definitely trust your experiments over my own armchair diagnosing.
As for ductwork, I have had excellent success reducing high* frequency resonances by placing treatments at the upper part of my screen wall. I had more success than I was even hoping for. I am very doubtful you could easily reduce bass energy transmission to the duct work though.
For the center speaker's light reflections, I guess YMMV. I have applied dark fabric to the top of a center before, and I would call the difference dramatic. However, I'm also someone who liberally uses windown tint on most of my electronics. If you do that as well, put all electronics to lowest dimmer setting, you'd be quite surprised at how much more immersive you can get it to look. You could start dialing down those brightness settings in your video game menus too, or whatever it takes to see all the shadow detail your display is capable of in the most ideal settings.
65" is indeed pretty close, but I have no reason to believe it is *too* close. Adjust level. How does it sound? Good luck!