Are the measurements in previous post when all valves are now back in place? What switch (T2) setting is being used? Are there any loads on the output terminals? Are the voltage readings relative to the 0V terminal of the 60-600V output?
Assuming all valves are in, and measurements are relative to 0V terminal of 60-600V output, and no external loads applied, and highest secondary voltage is fed from T2 switch:
C1 = 1kV would imply using the max voltage range switch setting, and no loading on that raw rail.
All plate voltages show the same as C1 voltage because that is the same voltage rail, so no new information (unless it was the plate to cathode voltage being measured).
T13 = -342V indicates the negative voltage provided by the second rectifier/regulator is possibly not being divided properly by R27-29 and R30, so I would check those resistors are correct valued and connected to their respective end circuit points.
T5-T12 cathodes with -52V. This indicates no current through T5-T12, and the common cathode line is pulled to the negative rail provided by the secondary rectifier through the string of resistors R34-43, R32//R33, and R44-49.
The original red-lined schematic in post #1 appears to show some voltage readings, but it is ambiguous as to whether the stand-along voltages are relative to the 0V terminal of the 60-600V output, or the negative rail of the second regulator section, or ...?