Bob wisely left you to do a site search (use the Google option from the drop down) on Subaru towing a 16 ft. It is a somewhat contentious issue. Read that post on trailer weights in the real world to get an idea of what the trailers really weigh. Doors are a really small part of the weight
. Larger fridge
probably makes more difference.
The reason it is contentious is the tow capacity is out of proportion to the hitch weight capacity. This means one can not follow "best practice" of hitch weight to trailer weight. Hitch weight of 10% is a reflection of the trailer weight being properly balanced. Controversy comes in because people have successfully towed 16 ft. Scamps using a Subaru. Hard to say it won't work when people have done it for 10's of thousands of miles.
You need to be aware that the only way it can be done safely is with a thorough understanding of the mechanics of towing. You are pushing some limits, and shaving others below ideal. Puts it all on you to make it work, and places some restrictions on what you can do.
Briefly, too much weight behind the axle
and trailer sways like a hula dancer at highway speeds 10% tongue weight indicates enough weight in front of the axle
. But the tow vehicle has to be able to have the total weight on the frame of passengers, cargo, and hitch weight under a certain (GVWR) so right off the bat you have to give up cargo in the Subaru.
You will be speed limited, cargo limited (in trailer and car) and will be pushing the vehicle (expect additional repair costs if you tow often) and will have to be precise in loading, equipment selection, set up and maintenance will need to be exact.
Rather than have yet another roaring debate about the subject do that site search for towing with Subaru, read the pro and con arguments. Then read the information that supports the arguments. You might want to send a Private Message to Carol H who has a great deal of experience towing a Scamp
16 with a Subaru. She knows how, and what it takes and has since upgraded her tow vehicle. She is in a good position to give you the benefit of real world experience.