Do you have an automatic transfer switch? (ATS) If so, the ATS will switch to the generator from shore power. I'd unplug the shore cord and start the generator. In a short interval, the ATS should connect to the generator. Have a 120v light on or view the clock display on the microwave to see when power connects. If you don't see a connection in about a minute or so, then you'll have to plug the shore cord into the generator outlet. (If you have a 30 amp generator outlet, likely you don't have an ATS.)
Running the generator on a 10-15º slope shouldn't harm it, if the slope is keeping oil from being picked up, the generator will shut itself down. Just make sure your RV absorption refrigerator is turned off, it will be harmed by that much tilt.