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Hi - On a casual basis the solar panel will recharge your batteries. What you really need to work out is your power needs - I run an observatory off solar power and with what you are looking at running you will probably need around 5 to 6 amps at 12 volts. Your biggest power user will be the laptop. I run a 24 volt system and use 4.8 amps but that includes running a computer and monitor.
For 6 hours operation you will consume 72 amps at 12 volts. Batteries will be your problem - you need deep cycle and you can not use them less than 20% unless you are prepared to damage them - Even though they will give power down to 11 volts Deep Cycle Batteries do not take kindly to being operated below 12 volts. My system is set to turn off at 24.2 volts.
If this system is for occassional use it may be cheaper to use a small generator, say around 600 to 800 watt
Cheers
Geof Wingham
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