This wasn't a controlled test, it was during a power outage... If I get a chance again I'll give it a shot. The feeling I got is that it can easily handle all of those small appliances. Like one of those full 1800W ones (toaster oven or microwave), and then all the small ones combined.
With respect to how those appliances cycle, it depends. I've tested many with grid power and power meter.
If you have the cheapest ones, they are all or nothing cycling. Classic microwave and classic Toaster oven. Instant Pot as well.
Inverter microwave are ramped smoothly (and this is supposed to be easier to work with anyway as an appliance). High end toaster ovens like Breville with precise temp control are ramped.
Most kettles are all or nothing. I haven't tested my Stagg to see if its PID is on-off or ramped.
Apart from the classic microwave I know all of those are pure resistive loads. Dunno what kind of load magnetron presents when it's run on/off.