In theory one of those panels will charge your battery back up. The reality is it will take too long. Assuming your Rubicon battery is roughly 75 Ah and you run it down 80% you need to put 60 Ah back in. One of these panels is 50 watts, that's about 2.8 amps in full sun so it would take 21 hours of full sun to recharge your battery. That's about 5 days in most parts of the country.
Will it keep your battery from dying as fast when charging your phone and listening to the radio? Yes, it would work quite well for that.
Will it keep your battery from dying as fast when charging your phone and listening to the radio? Yes, it would work quite well for that.