We are pulling a Trillium
13 with our Subaru Forester and it's an awesome combination. We bought our trailer with electric brakes and I had a Tekonsha Prodigy brake controller installed on the Subaru. We just did a trip through the Rockies to Alberta and back and I HIGHLY recommend the brakes on your trailer. The Subaru does not have the mass of our Toyota 4x4 and I really felt the trailer pushing the Subaru during hard braking without the brakes. Honestly, with the brakes the rig stops better then the car without the trailer on it.
Our 13' trailer loaded was pushing 1800lbs - I had a lot of tools in case of something going wrong plus a bike rack with 2 kids bikes. Sorry Weldon, but from what I have read and from the scales I have been on I doubt any 13' trailer with Fridge/Furnace/Propane/battery and loaded for camping will be less then 1500lbs.
If you can't see brake flanges on your axle
then it sounds like you need to get a new axle with electric brake mounts. When I was looking around for our 1972 it was $600 - $800 CDN to get an axle with brakes - generally they can pull it off without removing the body. My 1972 had a 7 pin but it did not have electric brakes - the previous owner had 7 pin on his TV so just had one added to the trailer.