By "Evap Cooler" do you mean a Thermoelectric cooler? I traveled with a similarly described solar rig all over the country and the rate at which it uses electricity is nearly proportional to the temperature difference. I found it ran more and used more electricity in the desert because it was hotter and drier. Superinsulating it will go a long way to help keep the power usage down.

I would vaguely wave my hands at yes, you might have enough, but your cooling load will be your largest. Radios and LED lights don't use very much. I would recommend trying to figure out how many watt-hours you will be using vs. how many you will bring in with the solar modules vs. what storage capacity you have available. There are probably some good resources you can find online to help streamline those calculations. Good luck.

it sounds like you might only have about 30W of PV power judging by the size. If it's charging the battery all day perhaps it could have enough juice to power the LED lights and a boombox, doubtful it can do the evap cooler. depends on wattage and how long you run it. You may need more modules of similar size.