Richard, yours in black from previous, my adder in red

Not sure I understand your question so feel free to disregard this
if its nonsense.
T-10, 11, 12, 13 are the plate tank of the RF amplifier stage. The
common connections go to B+ the other side go to one side of the the
band switch.

?

The secondary coils go to the other side of the bandswitch
which then goes to the signal grid of the mixer tube. ?Yes ,

and the secondary coils? seem to be tied together at the bottom? ..but ?otherwise floating so how does it couples to the grid unless inherent capacitance holds the common bottom to ground.

I was hoping to keep this topic about the circuit ?and not the Problems in Tom’s radio.

????