3-to balance it how would you do it?
How do you know it's
not balanced now?
I'd assume you'd need 2 meters, one for each plate output, and a test signal. Watch both plates to see a roughly-equal a.c. output voltage.
Or you use a dual-trace scope and measure the same (for either method, you
could measure at the output tube grids instead of PI plates).
... what WILL balancing do?
Assuming the PI tube sections are matched, the output tubes ae matched under all conditions of operations and your OT primary winding halves are exactly equal, balance in the PI will yield the most clean output power for your particular amp.
Perfect a.c. balance ensures cancellation of even harmonic distortion generated
in the output section.
That's pretty much it.
4-if i were to try and achieve balance with say a 47k resistor in place of the current 10k tail, should i change the 82k plate to 100k?
No.
The tail resistor does most of the work in balancing the outputs.
The plate load resistors are purposely different values,
because that's what's required to get balanced outputs when you drive only one grid of the long-tail pair. The other grid is seeing a negative feedback input.
Some Vox amps that don't use NFB drive both grids of the long-tail, and use a 100kΩ resistor for both halves.
2-Is it the A/C signal to the PA that you are trying to balance?
This "balanced" is not
that "balanced".
The "balanced input" of a PA refers to the impedance to ground from the hot and neutral inputs on the jack.
On an unbalanced guitar amp jack, the hot might have a 1MΩ resistor to ground; the "neutral" contact is directly connected to ground. So the hot and shield of the guitar cord/jack have "unbalanced" impedances to ground.
On a balanced input, the hot and neutral are separate from the grounded shield, and those connections have equal ("balanced") impedances to ground.
Those balanced impedances might be halves on an input transformer winding, equal resistors to ground, or opamp inputs with equal impedances to ground.