Garand1,
May I ask, how much fuel did you have in your tank at the time you tried to use the Gen? I'm sure you know this but, about 99.9% of the generators out there will quit when the fuel tank reaches around 25% or, 1/4 full. That is so they don't run you out of fuel when you're dry camping. Just thought I'd throw that at ya. But, as other posters have commented, you might have a cracked fuel line some place, and it's sucking air. If you do a small test, and take the fuel line off and route it to a separate stand alone fuel can and your gen runs fine, and, you've got a full tank of fuel too, then sounds definitely like a fuel line problem from the gen to the main tank.
Now, as far as your lights are concerned, this may sound like the "easy" way out or, Rube Goldberg or, MacGyver or, whatever you want to call it but, making a new ground would by far, not only do th trick for you but, would not take very long either. I mean, who cars where a ground comes from? As long as it works, you're really not altering anything, just supplying a new, different ground, no big deal. But, if you're the industrious type, and would like to "dig around" and find that bad ground, then jump in there and have a good time. I've done it both ways on previous issues of mine.
Good luck.
Scott
Scott and Karla SDFD RETIRED2004 Itasca Horizon, 36GD Slate Blue 330 CAT
2011 GMC Sierra 1500 Ext Cab 4x4 Toad
2008 Caliente Red LVL II GL 1800 Goldwing KI60ND