7200Wh 24V is 300Ah cell. common size is 280Ah and 320.
I am not sure why you would need that power.
Anyway , if you get 7200W in a battery, you should get at least 7200W/5 = 1440Wh of panels. (and reality says closer to 2000Wh)
with 4x 160w you are not even half of that .
either you battery is to big, your panels to small and inverter matches neither one or the other.
the risk is you will slowly drain you battery until it is empty, then it will take forever to charge it again.
and a 1500W inverter should not be able to power device with high current start, like fridge.
you should make an audit of how much power your really need, cut everywhere you can (replacing standard bulbs with led, put motion detectors on lights, use emergency lights with integrated battery, or can run DC directly from the battery.
basically every important device should have its own battery (just in case you burn the inverter, so you can still survive a few hours with lights, music, phone, radio, gsm/wifi access point ) or add a small gas generator just for emergency.