It shouldn't be a problem for your cooktop and microwave to work with your generator. You may not be able to use them at the same time though. How many watts is your generator?
Unless you have a very large battery bank and at least a 2500 watt inverter you shouldn't try to run the microwave or cooktop off of your invertor. Since you only have an 1800 watt invertor now you may not even be wired to run those appliances. Do you have a propane refrigerator or a residential one? If you have a residential refrigerator it may require the bulk of your batteries and invertor power.
Other people on here may tell you it is possible to run the cooktop and microwave off the invertor and your solar. It may be possible with a large battery bank and larger invertor, but only for a minute or so. Not long enough to cook a meal.
Use your generator for cooking and save your batteries/invertor for the TV, lights and communication devices.
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Dave and Chris
US Navy (Ret),
KH2BD
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