Wow! Lots of wires in that little box. Some have nowt to do with the generator I'd say? The Lucas regulator and relays are unlikely to be for the generator more likely the engine and its alternator for charging/starting purposes.
If you remove these the job starts to look more simple. The boxes to the right of the picture with large "shunt" resistor fixed to the top are Current transformers hence being marked 'CT'. The wires from the alternator that effectively become your phase supply lines (L1,L2,L3) are all passed through the middle of the coils to induce a voltage and drive the ammeters. The load energise relay is I suspect the way they allow the AVR to control the load output. If over excitation, over/under frequency or over/under voltage occur the AVR or its associated protection systems need to disconnect the load. As these systems aren't designed to control large loads the relay is used instead.
Does that load excite switch have the same numbers on the wires as x1 and x2 on the relay? It doesn't look like the AVR is situated in that box, if it is I can't see it...
The military stuff is way overkill and designed to run at full load or above and backup systems to protect against pretty much all faults. This over engineering makes diagnostics difficult. I have a 3 phase ex MOD genset that the AVR was knackered, well more specifically the protection circuit which were all rack mounted and spread across several PCB's with loads of old dried out electrolytic capacitors fitted and ageing solder joints I decided to rewire from scratch with a modern AVR and generator control unit. Whilst at the job I fitted modern MCB, RCCB's and voltage and current panel meters. It was a fairly involved job but well worth the effort. I think if you could find someone who understands the basic principles and follows the numbering system on the wires you might find a solution but it's a costly job if you cant do it yourself I'm afraid. Hence why the MOD low houred stuff makes little money compared with a main brand genset such as; Pramac, SDMO, Caterpillar etc...
Hopefully you can find someone to cast an eye over the load relay and it's control system as I believe that's where the fault lies. The AVR seems to be functioning correctly as the genset doesn't shut itself down when the load switch is toggled I assume?