Hard to say without being there, but the most of the loads you described should have been within the capability of a 5.5 kW Honda. The killer for overloading generators in most cases is any high surge startup loads such as a well pump and HVAC blowers and compressors. In many cases even these are possible to power if you add a soft start device to your high surge loads. By equipping your air handlers with soft start mechanisms you might be able to run those as well and keep your home equally conditioned during an outage.
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