I have a 12v cooler / freezer I run on my power box.. It is compressor type, not thermo-electric and can be set from about 40F to -4 . Things like larger 120v ac motor driven tools, appliances` ,and microwave ovens can draw up to 3 and 4x their rated power so most can only be run by the most powerful power stations of at least 2000w. Lights and resistive loads like lights,a coffee pot or electric kettle will work on 1000w power stations as long as their rated power is 1,000w or less.. Technically resistive loads draw their rated power on start while inductive and capacitive loads can draw 3 times or more thah their rated power on start up.

Yeah you are right about the break away...I did not provide for that circuit. In addition, With My single axle Electric brakes I had to parallel an incandescent trailer License plate light with the electric brake circuit just to have enough circuit resistance to let the Tundra Mfg Trailer control know that the brakes are there (Trailer disconnected connected alarm). With that the brakes work fine. The truck mfg trailer brake control has a manually adjustable "Gain" for the braking function depending on load. The paralleled light comes on whenever the brakes are applied. Without that load when brakes are not engaged I would get a "trailer Disconnected alarm". If I had Hydraulic over electric brakes (that is another setting on the mfg brake control) the pump motor load probably would not necessitate additional resistance.