With 640 watts charging a 12volt battery you will need a 60Amp MPPT type charge controller. That can get you about 50 amps of charging under that best conditions which means your battery system should rated between 400Ah and 600Ah to meet a C/8 to C/12 charge rate.
Sometimes I run my panels in parallel (when one panel might be shaded), and in my real world tests I get *exactly* the same watt output from my panels when they're in parallel versus series. They're still high voltage when in parallel (46 volts), so I'm still getting a benefit from MPPT. I'm guessing in series I'd get more power in the early morning and evening, but that's no big deal since I don't get much power then anyway. Translation: don't worry too much if you need to go parallel, in real world tests it works fine. You can easily repeat those tests for yourself.
As far as the fridge, agreed that until there's some real world measurements posted, we can't really know. But I don't think it's any big deal, as the OP stated if the fridge doesn't work he'll use it for something else. He still wants and needs solar for his rig for lighting and other stuff.
As far as carefully measuring your loads before getting your panels, while that's of course how it's done when planning off-grid systems for a house, it's kind of unusual to apply that approach to an RV. Typically with an RV you just get the biggest solar system you can fit and afford and adjust your load to that, as opposed to adjusting your panels to your load. Realistically, the options for RV solar are 100 watts up to 650 watts. Anything above that is pretty unusual. You're on the right track with your ~600 watts of solar and you'll have the best RV solar system for a hundred miles, and I'm sure with minor tweaks to your loads it'll work great.
OK I cannot say this strongly enough, you will have to have an alternate source of power. Wyrbread gets away without having an alternate source of power because he never runs more than 4 to 7 days at a time.
or, you can go with a pair of cheap 6v 210ah golf cart batteries, run the snot out of them, take them way down, and just replace $250 worth of batteries every year as you kill them.
https://www.amazon.com/bayite-6-5-10.../dp/B013PKYILS
And learn how to check your battery fluid levels and be super vigilant about not letting them get low, and don't over fill them since boiling over causes a mess.
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