The problem is the refrigerator. Last years I tried to run one in my truck with self made inverter. The thing worked perfectly for all tests but on the road it failed again and again.
The reason therefore is, that startup current of refrigerators depend strongly from temperature outside. The higher the temperature, the more important is the refrigerator and the higher the pressure of the cooling substance. Higher hydraulic pressure needs high motor torque resulting in extremly high startup current.
From the same reason, service technicians are not happy about hot summers. Most refrigerators and mainly air conditions are dimensioned for temperatures up to 35 degree celcius. In my truck I easily had 50 degree and more. This makes the startup current so high, that the motor protection breaker blows out and the cooling in critical situation fails.
Assume all, the generator should be able to supply 6-8 times more capacity without dropping the voltage for secure startup of cooling devices. If the voltage drops 10% at startup, the theoretically available torque of async motors drops much more (up to 50%). A solution could be refrigerators working with frequency inverter what can start with a F/U ramp but I did no tests with those expensive devices. I tackeled to buildt one myself but this is difficult since the compressor motors are hermetically closed due to noise reasons.