Flanman, I would just plug you existing cord into the genny, using adapters to get to the 15 amp receptacle.
As others have said, 1000 watts will run small appliances and charge your battery(s), but not a whole lot else.
You haven't said whether you already have the generator or not. If you don't, I would recommend getting at least a 2000 watt. (or 3000 watt)
Either of those would be more versatile. IMHO.
Happy camping. Trace