Also if it has an AVR, the unit may have tried to feed too much current to build voltage at low RPM. This could have opened a field fuse if there is one associated with the AVR. Most modern AVR's have a frequency below wich they will refuse to excite the field.
I would also visually examine the brushes to make sure they have good contact.
If you do not have an AVR, and your pics look like it does not, flashing the field is fairly easy. Find the leads comming up from the brushes. they connect to the bridge rectifyer. in the pic of your doghouse box, it appears that you have a modern modular style rectifyer just to the left and in front of the connection board in the middle. It has 4 wires comming off the top? From the rectifyer, 2 wires go to the brushes. that is rectified DC. The other 2 come from the "Z" winding that provides the AC excitation energy that gets rectified and sent to the brushes/rotor.
If the rectifyer is labeled with a + and a - symble where the leads to the brushes are connected, that is easy. get a 12V battery and some clip leads and connect up + to + and - to -, leaving the last connection disconnected. Start the engine and get it up to speed. Once it is running, briefly connect that last connection to the battery power. This will "flash" the field causing the coils in the rotor to build a magnetic field(some of which will be stored in the iron core). and excite the generator into output. A voltmeter monitoring the output will show this output excitation. Once it is flashed, that output energy will then be output by the "Z" winding and pass thru the rectifyer causing the output to be maintained.
If your rectifyer is not labeled, you can connect the 12VDC to the other two leads on the bridge rectifyer (the pair running to the "Z" winding) SInce that input is AC, connecting the DC to this pair is not polarity conscious, and the bridge rectifyer will route the power to the proper brush leads to build the correct polarity field...