Hello Max,
You are correct.
In theory, you are looking at cells that claim to be capable of 900 mAh, but you do not know how they will test out under high loads. If you parallel 3 of those cells, and if they are really good for 900 mAh, you theoretically could be good for 5.4 amps. Using two holders in series will give you twice the voltage of a single holder, but the capacity will not increase.
In theory, you should be good to go.
However, others have pointed out that the 900 mAh claim is most likely inflated. 700 mAh may be a more realistic value to use. This would give you a maximum current of 4.2 amps. Since you need a little over 5 amps, you would be driving your cells slightly above 2C.
When you overdrive cells, the cell heats up and the voltage drops. The heat kills the cells and the lower voltage means your lamp will not be as bright.
I have had cells die in as little as 10 cycles when pushing them to 2C and beyond. This means that the cells dropped to below 80% of their initial capacity.
If you started out with cells that were actually 700 mAh and pushed them hard, they could be down to around 560 mAh in as little as 10 cycles. Now you are running at 1680 mAh and a 5 amp draw would be nearly 3C.
If you are just playing around, don't care if you ruin the cells, take the appropriate safety precautions, and don't let the light be used by "uninformed" people, it would be an interesting exercise. However, if you want a dependable light, you should tone down the current draw, or use batteries with higher capacity to give you a better margin of safety.
Tom