Calling on Solar Techies

I see lots of issues, given your stated usage. Did you know small electric heaters draw up around 1600 Watts? Your Microwave oven also around 1500 Watts. Standard coffee pots - around 1200 Watts. .... are you begin ing to see the issue? You'll need at least a 2000 Watt inverter, and yes, pure sine wave would probably be best......and that is if you only run one major appliance at a time. A 1500 Watt electric heater through an inverter may pull around 120 or 130 Amps from your batteries when the heater is running..... how long do you think your 384 Amp Hour battery bank will last before it reaches the recommended half way point of that capacity? Frankly, you're going to need far more solar and a much larger battery bank to make that kind of power demands.... ConsideriLithium batteries and at least 1000 Watts of solar for this. I see you are in Oregon. Give AM Solar over in Springfield a call.....or contact them on their website and see if they'll give you an idea what you need. They are one of the best RV Solar companies in the country.
. . . . Or you might just reassess your planned usage needs ..... the desire for electric heat would be your big killer.....