for tv and cell phones etc.. a 300w inverter is enough power
a 2000w is for cooking using 120v electricity
with out a generator for powering a battery charger , you are going to use tremendous amounts of gasoline, running the engine to charge the batteries
you need to use the propane cook stove , and the propane heat as much as possible
the fridge needs propane and 12v battery power,
the water pump and lights are 12v
the water heater is propane
you need fully charged batteries,
turn off that 2000w inverter and start using the propane
goto harbor freight and buy a cheap generator, use that for to run power the RV and get the batteries charged up
the RV has a 'converter' for charging the batteries, a good 20-40amp battery charger from the auto parts store will do a better job
your batteries are NOT 600ma (aka milli-amps)
600 CCA, might be what you mean, when you said 600ma
deep cycle batteries do NOT have a cold cranking amps number (CCA)
they might be 60 Amp Hour each, they should be more
post brand model and grp size and maybe we can help you figure it out
batteries are marked by group size like group 24, or 27, or 29, or 31
also usually an RC number (reserve capacity) like 165 minutes
