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Nope, your math is right. Those cells are only 2Ah.
Also, those are lithium polymer batteries, they're a bit more volitile than LiFePo4 (lithium iron) batteries and are known to overheat and cause fires (laptops) much more easily if they're not strictly maintained. I don't think it would be a problem for this application as you aren't stressing them much, but its something to keep in mind.
Another thing to keep in mind is you do not want to cycle your lithium batteries past 80% depth of discharge, 70% is preferable as a shallower cycles increase the amout of cycles you get out of the battery. With lead, this number is only 50%. So, my 70Ah lead acid battery really only has a usable capacity of 35Ah where as your 60Ah battery has a usable capacity of 42Ah.
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