They don't list much about the charge controller. It does say PWM on the front which is pretty basic and not the best efficiency, but that is normal for the price range. The "Load Output" terminals should have a shut off if the battery get's too low, but it does not give any details. The Valence battery has a built in BMS, so you will still be safe there, but it would be nice to have external load cut protection. Rich solar panels get decent reviews, so they probably can put out close to their ratings. But you should realize the 200 watts will basically only happen if the panels are cool, the sky is clear with no haze, smoke, or smog, and they are perfect flat face directly at the sun at noon. Actually expect 80% and over a day, if you leave them at one angle, maybe 1 KWH on a good day.
If it is just a 50 watt fridge, you should get over 24 hours from the battery, but it will take most of it. A full day of charge will put about 50% of one battery capacity back in with good sun if the fridge is not running. With it running, it will take over 1/3 of the solar power so it might not run 50 watts constant 24 hours a day on just 200 watts of solar panel. The battery will deplete. A second battery will get you a bit more time.
All you really need is a terminal block and fuse. How nice to do you wan it to be? You can install the battery in a marine style battery box, mount the charge controller on the side, use an inline fuse holder and have an XT-60 connector hanging out to plug in your load. You can get everything you need at Amazon. Do you have a soldering iron, a crimper, drill, screws and nuts, electrical tape and/or heat shrink tubing, wire ties?
I have 2 small thermo electric cooler type "Coolers" and they do make the ice melt a bit slower in hot weather, but they are not a true refrigerator. Like Hedges said, Those TEC Peltier modules just can't move enough energy.