If you have -35 or so volts on one output tube pin 5 and +4 volts on the other one, that is your redplating culprit, no question about it. You need negative volts on those grids or those tubes will overcurrent, runaway, redplate, whatever you want to call it. Blow up. That negative voltage throttles back the current through the tube to a controlled level. You need the same (negative) voltage pretty much on both tubes, pin 5. Whatever reason that one tube is getting +4 instead of the -35 or -40 it is supposed to get is your problem. Whether it is because of a wiring error, broken wire, or phase of the moon, you have to resolve that before proceeding. It *looks* like you have that wired right---maybe you just need to reheat some solder connections.
I notice that your input grid resistors on your 6L6 output tubes are green-brown-red----which is 5100 ohms---versus brown-green-red = 1500 ohms. Now myself, I would not think that would matter in any way (and certainly would not have the slightest anything to do w/your redplating) But it is sort of a WTF if you are asking me "what might I have done wrong?" if you get my drift. Just observing from afar, you know.
Agree with Sluckey, clean up those wire stubs on your output tube sockets and maybe swab a Q-tip soaked in alcohol on those to get some of that dirt or crud or whatever it is out of there.
It is not entirely clear to me how you have run your OT primary leads. I of course can only judge from a pix which is only a "window" into how you've done things. To wit: On one output tube, pin 3, you have a blue wire. That is fine and proper and other than wanting to be trimmed back, is good. That blue is the right color wire I would expect at one end of the OT primary. So then I want to see a BROWN wire going to the other output tube pin 3. On your pix, it is green. Hmmm. Maybe you spliced the wire and used some green heatshrink. But then the wire that really IS BROWN, is somehow headed off in rather the wrong direction. Where is it going? Seems odd to me.