A large inverter on a small FLA bank is a no-go, an oversized
charger is nice to have, but will be of no benefit, because the
current is limited by the acceptance of the battery, it will still take a long time in bulk and absorbtion.
Of course you can build the system step by step, but you get most of it starting on the battery and adding the components later, you can use the benefits from day one even with the old stuff if you are a little careful or have a good bms. This is the option where you immediately see an improvement on your energy situation, if you start with the
electronics, you only see nice boxes and gages.
But this is only my opinion, it may vary to yours.