You need lots more solar panel capacity, plus lots more battery storage capacity.
You have a single 100 watt solar panel. You can calculate its output, roughly, by: Watts = amps x volts.
So 8.33 amps x 12 volts = 100 watts.
In other words, the solar panel you have will put out about 8 amps.
You’ve got a good start with your inverter and your charge controller, but you need at least 2 more panels and at least one more battery to utilize your inverter and charge controller capacity. And that will not be nearly enough to power the things you listed.
I’ve got my own 12 volt system. I have 375 watts of charging capacity, but here in the Pacific NW we tend to have a few cloudy days...
Even on a cloudy day I get some power, but not nearly the rated amount. I can run a pellet stove for a few hours, recharge batteries for flashlights and lanterns, and recharge batteries for a low power laptop. That’s about it.
Thing is, I have limited funds to buy this stuff lol.