I can answer part of your question...I supplied the power for a 21 cu. ft. household refrigerator (new at the time) from a bank of 12 Trojan T-105 batteries
in the usual series parallel configuration to provide 1320 Ahr capacity at 12 VDC. Note that usable capacity (50% Rule) was 660 Ahr.
The inverter/charge is a venerable Xantrex Freedom 25
(2.5 kW) modified sine wave.
With nominal household loads, including coffee by a Mr. Coffee in the morning, we used 550 Ahr every 24 hours. This was replenished by a Balmar
APC (no longer manufactured) which consists of a Kubota 6 hp engine
directly coupled to a Balmar
large case 190 amp alternator
. We replenished to 95% full in about 5.5 hours.
We used this set up while we cruised the Eastern Caribbean
for 3+ years and it worked flawlessly.
Regarding solar panels
...Doing the math, you will need 550 Ahrs x 14.2 VDC = 7810 Whrs. of power generated by solar panels
during approximately six hours. The newest monocrystalline panels
in the current
West are rated at 3.62 A.
3.62 A x 14.2 VDC x 6 hrs = 308 Whrs so you would need 25 panels
. Not practical.