These packaged inverter/ battery all in one combos are not bad, but I believe none of the individual components is of high quality and will withstand constant use. The inverter is just a cheap MSW inverter. Not all devices like the choppy square wave. The lights, probably too difficult to get the light where needed. The compressor, has probably a 5 minute on 30 minute off duty cycle. Run it longer than 5 minutes, it overheats and never works properly again.
It becomes a noise maker that will allow your tire to lose pressure while making noise.
an 18 A/h battery is not very much. A 400 watt load will deplete it completely , if fully charged to begin with, in about 20 minutes, probably less.
400 watts / 12.4v = 32.26 amps
http://www.amazon.com/18AH-Sealed-Lead-Acid-Battery/dp/B005J511O0
You cannot expect 1.3 amps all day long from that panel. Perhaps an hour or 2 around noon, and likely not through the windshield.
Recharging laptops is better accomplished through a DC to DC car adapter. The laptop provided power brick takes 115Vac and turns it into ~19v DC, at about 85% efficiency. Using an inverter to power this power brick, another 15% is lost. If the netbook is charged through a USB plug, then the worst possible option is using an inverter to power a USB power supply.
http://www.amazon.com/Dual-USB-Char...d=1398663843&sr=1-14&keywords=usb+car+charger
http://www.amazon.com/Blue-Sea-Syst...8&qid=1398663890&sr=1-1&keywords=blue+sea+USB
Plug your laptop make and model into Amazon electronics, and add "car adapter". Mine was 22$. is 3 years old now. powering this laptop as I type. PWR+ brand. Only issue is the ciggy plugs wear out from overheating, passing 7 amps for hours on end.
I have many many fans. 120mm 12v Computer muffin fans. The three I use most, together, do not consume 0.8 amps and keep my Van at or below ambient temps when I have all sunlight blocked from entering. If your proposed fan is 0.8 amps on 120vac, when powered by the inverter this will be 8 amps + 15% more for inefficiency.
Honestly, for the money spent on that all in one power cube, you could buy a bigger capacity battery and the equipment to use less of its capacity.
Another strategy could be a dedicated jumpstarter and just cycle the vehicle's battery. With the tiny solar panel plugged into charging only the vehicle's battery. If you draw it too low, use the jumpstarter and then find a grid powered charger to top up the starting battery, and the jumper pack, as the alternator is not good at topping up cycled batteries. When your starter battery fails from cycling, as it will, replace it with a Marine/ Dual purpose battery that is more tolerant of deeper discharges.
Your Idea will work. It is just not the best way to spend that money to do what you want. You are paying for convenience, and less performance for that convenience.