A 400W solar kit will generate about 2kWh a day, during the summer, when the sun is shining. If you have a good solar charge controller.
That fridge will consume about 1kWh a day. Laptops, lights, internet, phones, fans: about another kWh more or less with a bit of margin. So that is all you got the power budget for. Pump and blender are not an issue due to their intermittent use.
You will be short on cloudy days.
We had 400W on our van last summer. Same type of dorm fridge. 2kWh per day is our long term average usage. During the summer.
An induction cooktop is out of question unless you are the world's fastest cook. We occasionally used a small microwave and a kettle for coffee for minutes per day at most.
A water heater is COMPLETELY out of question.
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