One of my jobs used to be maintaining big 16 cylinder cummins gen sets but the Onan can be a pain figuring out sometimes, why they never put a slide out tray on these coaches is beyond me sure would of made things easier. You will figure it out, that module that controls the gen set can cause problems. As someone said keep oil full and gas above 1/4 tank. I saw where one person had their Onan shutting down just below a 1/2 tank I think that was a goof on the pickup line when placedIn case you haven't already done this. Go to the onan web site an download a complete service/tech manual. It will answer all the questions you have, including part #'s.
Go to:
http://www.cumminsonan.com/rv/ then click on Maintance Parts then click on Tech Documents then scroll through and find your particular generator.