Outback, along with Magnum Energy, make the best inverters and related equipment currently available (and made in the USA)
. I prefer the Magnums for their remote monitoring system, which is extremely easy to navigate. The Outback is quite a bit more complex.
When I install a 2800 watt inverter, there is usually at least a 600 amp/hour deep cycle battery bank attached to it and a rather robust solar array to keep those batteries charged. Remember that when converting a 120VAC load into a 12VDC draw, the rule of thumb is a factor of 10, meaning that if you want to run a 1200 watt microwave (10 amps AC draw), this would be pulling 100 amps from the battery bank, plus the residual amperage required to operate the inverter.
Also, the larger the load that the battery bank sees, the capacity of that battery bank is effectively reduced, as Peukert so elegantly theorized.
Bottom line; you have a couple of great inverters which are not really well suited for use in a trailer where battery weight is a critical issue.