The solar panels are only part of the equation. You will also need a big enough battery bank and inverter to run things like a microwave and coffee maker but yes 510 watts should be enough to meet those demands. Microwave and coffee maker do consume a fair amount of amperage but only for a short period so overall impact isn't great. The other loads like fan, lights (use led) and TV don't consume a lot of power unless you are using them frequently.
As you point out quality of sunlight will play an important role in battery state of charge. If you have no back up power supply such as a generator you may have to moderate the use of your electrical devices to keep the battery from being overly discharged during periods of cloudy skies.