chickenman05, your inverter is 1000 watts and yes the fan will run even thought the inverter is off.
The converter is behind the 120VAC load center. It is mounted to the back of the back wall of the area under the sink. You have to loosen the load center to get to it.
Grant & Pat
2014 Adventurer 35P
2012 Jeep Wrangler Rubicon