How's the temperature in your refrigerator? The electric heating element can draw anywhere from 300-450 watts all by itself, and it's usually on most of the time. If it's partially shorted it can draw more power before it ultimately burns out.
The refrigerator seems to be fine. I've put a little refrigerator thermometer in there and it's always in the "safe zone". It kinda freezes up the fins inside of the refrigerator about once or twice a season, but I think thats normal. I've always had to remove the ice build up on those fins from time to time. About a year or so ago i got a notice about some sort of Dometic recall and I had to take the camper to Camping World to have something replaced on my refrigerator, but I don't know what exactly it was that was replaced. The entire refrigerator certainly wasn't. It didn't take them long to do the job, whatever it was.
Are you sure your coffeemaker isn't turning itself on while you're gone? That's another 1000 watts or so.
I really doubt it. The only thing that stays on is the little clock.
Get a Kill-A-Watt meter (about $30 at Home Depot and other hardware stores, or at Amazon) and use it to check the power consumption of things inside the rig like the refrigerator.
I actually have one of those, but i have no idea where the "plug" on my refrigerator is. Would it be behind that plastic cover that is on the outside of my camper?
If you can't find any high draw items inside the trailer, plug the Kill-A-Watt into the pedestal and the trailer's cord into the Kill-A-Watt. You'll need a 20 amp adapter for your trailer cord, and a 30 to 20 amp adapter to plug into the pedestal's 30 amp socket, unless there's also a 20 amp socket there.
I have both adapters, however what is my camper draws more than the 20w that the meter is capable of handling? Won't that kill the meter? I'd hate to do that. That's the only reason why I haven't tried that yet.
Check the trailer's current draw on the Amps scale, to make sure you're not drawing more than the Kill-A-Watt's 15 amp limit. Read your electric meter, then come back in a couple of hours and read the meter again. Compare how much power it says you've used against the KW/H readout on the Kill-A-Watt.