I do not know if that inverter is pure sine wave or modified sine wave - if it doesn't say "pure sine wave" then it isn't. You can use a modified sine wave inverter for resistive loads (lights, chargers and heaters), but not electronics (TVs and computers) or motors (fridges, air-cons). Please don't try running electronics or motors on a modified sine wave inverter, you'll just break them
You need an electrician to connect it to your DB properly. Do not do this yourself - you will burn down your house and insurance will laugh at you.
You can indeed charge the batteries using solar panels, but you will need to have some charge controllers help you out. The wattage of the panels depends entirely on how much electricity you use daily, however, as a guess I'd recommend the following:
104Ah*12V=1248 Wh * 0.2 (they're lead acid and you shouldnt use them more than 20% DOC) =~ 250 Wh per battery = 500Wh total, which means that you should get away with a small 100W solar panel (500Wh/6h per day sunlight). That being said, 500Wh is a very small amount of electricity and I doubt that is terribly useful to you. You probably need waaaay more batteries. An average person uses about 220 kWh of electricity a month, or 7.33 kWh/day - so as a baseline I'd guestimate you need at least 7.33kWh of usable energy stored daily.
This means you need about 1.25 kW in solar panels (that work 6 hours a day more or less) and at least five(5) 104Ah batteries total.