The residential fridge shoudl work, most are under 300 watts.
Big ticket items are over 1,000 watts.. IF your 30 amp service is good and solid you can have a maximum of TWO of these,,,, Only one Air Conditioner though See note below.
I often run A/C RV-Fridge (sligtly more power than your Residential) and either Water heater OR microwave but not both..
Note that if you do not have good solid 30 amps (IE: voltage drops when A/C kicks in to LESS than 110) you may not be able to add the water heater or microwave, May have to disable A/C (Turn off) to use the Microwave.. I've also had on at least one site to put the Fridge on gas. but you do nto have that option (That park has very bad power).
Note also. It helps if the batteries are FULL since my converter goes BIG TICKET if they are down too far... Most do or at least come close.
Finally.. Full batteries, NO water heater, Fridge on Gas.. I've run two A/Cs on a solid 30 amp line... Twice. Both A/C's had just been cleaned inside and out. But I've been full time for like 7 years out of the 10 years this rig's been on the road.
Home is where I park it!