V3, a 12AT7 is your reverb driver, which gets BIG volts on pins 1 and 6, its plates. Pins 1 & 6 are common, they should be jumpered together and have the same volts on them. It's hard to see how they could be disconnected. They are fed by the blue wire from the reverb tranny. Maybe you made a scale error [439 vs 4.37] here; they should have ~~430 volts on them. Appears you have good volts on pin 1 but a 12A_7 isn't going to work at all with 4.x volts on its plate. Does that third tube get VERY hot? (It should...very noticeably hotter than any other tube for given period of being on) At the same time, the voltage readings seem fine on the FIRST list you supplied. If the volts on your first list are correct (suspect they are) then the reverb driver tube V3 is OK. Move on.
V4 does not seem right. Section 1-2-3 seems OK. Section 6-7-8 your plate voltage is low (107 vs 280) and you probably should not have "the same" volts on the grid and cathode (pins 7 & 8) of that section. Pin 7, grid, comes (through a resistor) from the wiper of the reverb control. Did you make the ground connection on the cold side of that pot? (leftmost terminal as viewed from the rear) And/or...if you have a leaky cap in the reverb coupling cap (a .003) that is putting DC on that grid (via the reverb control) that will mess with the bias of that tube and disrupt its mojo. Possible wiring error or leaky cap.
V5 is your tremolo tube. Pin 1 should have about 280 volts on it. It is much higher in your readout, plus, BOTH cathodes of the two triodes within your V5, are effectively at zero. As for the 1-2-3 section, it is clearly not conducting. If it was conducting, we would see a voltage drop across its 220K plate resistor (we don't; that plate sits at the supplied B+ of 440 v) and its cathode would lifted off zero by about 2 volts. It's not (from strictly your voltage readings) possible to derive what's going on with your V5 but it's very not right. Both those cathodes should be at about 1.5 - 2 volts. If they are not---the tube (either half) is not conducting.
Otherwise, things seem pretty normal.
Do you get reverb crash if you shake the amp cabinet (with the reverb can in it) ?
Are you sure your reverb cables are sound?