I've unfortunately got to be that jerk this morning.
In the close up photo of the tube socket you posted, the original builders soldering technique leaves a lot to be desired.
The correct way to attach wires and component leads is via a mechanical connection prior to soldering. That means they must go through the hole, and wrap tightly around the terminals before soldering.
The builder of your unit put the lead in the hole and filled the remaining space with a glob of solder as if it was hot melt glue.
No wrap, no mechanical connection...
Personally I'd go through every single socket and correct that first. Order what you need to order to put that right. Solder is a lousy adhesive and will crack and you won't see the crack and it will crackle and pop and annihilate any device down stream...
Go ahead, ask me how I know.
Start by desoldering all the pins and wires from The problem socket. Make every wire wrap tightly around the terminal and once its mechanically secure melt lead into the joint.
Someone once said that your amp should work without solder....
Point of that remark, is that there should be no connections that are intermittent, every one of them should be crimped to the terminals with enough force that no motion occurs between parts.
Has to be that way, not because I said so, but because those are the best practices.