Alright, so I did a little more fooling around. So there are the two main issues: one: screen is at times wobbly, then instead of that the screen gets incredibly dark. Turning up the cutoff produces the usual bright white screen/lines of other screens, but it does nothing to make the actual picture brighter. the brightness comes and goes: the picture is otherwise incredibly crisp, the screen's image looks basically brand new. There does not seem to be a loose connection: playing with connectors/wires around the flyback, rear video board, and anode do not seem to make any difference. Sometimes it seems like messing with the rear board does something, but I think that is my mind playing tricks on me. Not sure if this is something loose inside, or what. I re-checked my solder work, and it all seems to check out fine as far as continuity. Perhaps some other part is failing? If I only knew what to look for this would be easier.
Regarding the sound, I no longer have an intermittent sound issue, but at increasing volumes, there is a lot of hiss and static. I am not sure if this could be due to the capacitors I used or not. Otherwise, the sound is nice and clear when played, despite the background hiss.
Lastly, when I fired it up this time it did indeed degauss.
I hope someone might have any sort of insight. Let me know if videos would help at all.