well ****, that's a crapload of math.....thaaaaanks haha, but seriously, heres how youd need it (estimating) it all comes down to electrical mat, with your fridge n freezer, I need amps and watts, amps n volts, etc, I need at least 2 to do the calculations on those. going off of what I know about panels, that most are between 240-250 watts, the lights= 23x13=299watts/per hr so you would need to cover that with panel watt, using the larger panels, that would be 2 panels, but they DO make smaller watt panels, + inverters and your ac/dc wiring. (first let me remind you, im still IN school lol, im not an expert, but I do know a bit). again, with the batteries, I need a combination of watt/amp etc, however I CAN tell you, that I believe using a 2500watt (2.5kwh) system on 4 12v batteries will not work, that's way too much power n not enough batteries to hold it. youd likely fry your system and or mess up your batteries. you have to think, if 2500watts n you're setting it up for 110v that breaks down to 22.72 volts per battery. car alternators don't quite work as well as one might seem, an average car alternator runs at about 5200rmp, that's a grip of turns and its hard for it to do, BUUUT, and DC motor is an alternator too, just find a smaller one. I hope ive helped some.