The pictures depict that your converter is charging the batteries in a depleted condition. This assumes that the metering system in the RV is correct. First thing I would do is plug the RV into shore power and leave it on for a couple of days. You would take your hand held meter and verify (with shore power on) that the house batteries are being charged with a voltage greater than 12.5V. After the charge has completed and the batteries have been at rest for at least 12 hrs., check the batteries again with your meter. If no loads have been applied (or just the parasitic loads of the RV are present), you should have a reading of 12.6 or so.
After you've completed this, you can try a generator start, using only the house batteries.
If none of your lights work or are dim, you are not getting any power from the batteries. This could be due to discharged batteries or a selector switch fault. Once you have the batteries fully charged and have good power to the lights and other DC devices, it would confirm the selector switch is in the correct "run" position. Mark it on the switch.
Keep posting if you are having other problems. Solutions are usually easy and are posted quickly. Good luck.
