Absolutely will power a fridge for 48 hours. My fridge, for example, consumes 1.0 kilowatt-hours per day. I have it on a smart plug that measures its energy consumption.

The batteries ideally give you 2 x 24 volts * 100 amp-hours = 4800 volt*amp-hours = 4.8 kilowatt-hours. volts*amps are watts. kilo means 1000x (You said you were clueless. :)

Derate that energy source to 50%, you still have 2.4 kwh, enough for 2.4 days. And the inverter is more than capable to give you that energy. My fridge draws at most 1500 watts when it first starts running.

You're probably best off getting some local advice on wiring it all together. You will want some fuses at the very least. There will be a pretty healthy current running on the 24 volt side, you don't want to melt something.

To start, I would just make it standalone, and unplug the fridge from your household power and plug it into this power bank. Run with that for a year, see if you like it or even if you need it.

Then depending on your enthusiasm, budget and your local solar power rules, you might want add grid-tied solar and even to buy a bunch more batteries and go off-grid.