I am thinking of this backup serving double duty to run my 2 chest freezers and garage fridge, therefore taking them off the grid, as well as providing some backup power and to have these units be capable of keeping food cold in the event of an outage. My total watts when all 3 are running is around 500, I have yet to time them in an hour to calculate total run time per day.
Let's throw out some numbers and see what can work for you. I'll make a few generalizations about the appliances you mention
2 chest freezers: 600Wh/day each or 1.2kWh total per day
1 standard refrigerator 20cuft: 1500Wh/day
lights, TV, Video game consoles: 1000Wh/day
inverter itself on 24/7: 700Wh/day (this varies a LOT. An MPP might be 2400Wh. A component inverter might be 700Wh)
Total 6100Wh per day. So, let's say you need to generate ~6kWh of power per day.
The second assumption I'll make is that your location is temperate, and you have 2.5sunhours in winter and 5.0sunhours in summer. A sunhour (or sh) is NOT the number of hours the sun is up.
So, planning on the worst day of the year, you'd need 6100Wh/2.5sh = 2440W of panels. In summer that might be only 1220Wh. So, if your power goes off in December, then the 1400W of panels you are planning on might not be enough.
Now, the battery. If your consumption is ~6kWh/d, then the 5-6kWh of battery you are planning on is NOT likely to be large enough. Assuming your power goes out in a December storm, and stays off for just two days, you'll need more than 12kWh of storage.
So, all in all, it looks like you'll need to at least double your original estimates to make a viable system that is not going to fail you. Keep in mind these are MY numbers, which might not be exactly the same as YOUR numbers, but I'd bet they are close.