I wouldn't buy that one myself. Not because it won't work, but because it won't LAST!. As I said earlier in the thread, it only has a warranty for 12 months, and even then, only to 50% Discharge and 250 cycles.
There are alternative batteries that will last longer (in both senses, they will discharge further without breaking and will last more cycles).
BTW - yes, the calculations can get a bit overwhelming, but what you are asking is like asking "what spark plugs should I put in a car that I'm about to build myself..." There are a tonne of options, because none of it is built yet.
To summarise some excellent answers (not just by me
)
1. Your Amp-hours need to be worked out - like we did right at the start (find your watts, find your watt-hours, and then divide by the battery voltage)
2. Figure out your 'discharge' current - i.e. the PEAK power draw from the battery... this can be more complicated especially if you need to start motors etc. For electronics and lights etc, this is likely to not be more than double your watts from above. Your battery needs to be able to support that FLOW in AMPS. For example a 100Ah battery may only provide 80Ah if you're drawing 20A at a time.
3. Finally - once you know the Amp-Hours you want, and the Amps you need... go shopping and look at lots of different batteries. For your requirements you want a battery (or string of batteries) that last the number of cycles at the Depth of Discharge you want. This is the hard bit - one person might prefer to discharge to 80% knowing his batteries will last one third of the time of discharging them to 40%, but then he only needs to buy half the amount... it's a choice that depends on your financials, how long you want the system to last etc... i.e. there's no point buying a battery that will last 10000 cycles, if you're only cycling once per day, because it will die for other reasons before the 27 years of cycling is up...
Batteries are little chemical-electrical factories that have a limited amount of flow and storage space and they get tired if not used right. To use an analogy think of less like a water or fuel tank and more like a balloon. If you blow it up too much, or squeeze it too hard you might break it... If you just let a little bit of air out then blow it up, it will probably stay rigid, but if you blow it all the way up and then let is go all the way down, you'll stress it and next time you blow it up it won't work as well / might break.
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