Answer: The plant won't tolerate your cold temps, so you'll need to continue the ritual of bringing it indoors for the winter. The plant should be kept at temperatures between 60 and 85 degrees.
If the main stalk looks dead--there are no signs of life, no sprouts--then I think it's safe for you to cut it back. The sprouts you see are likely coming from the main root system, so I would leave it intact, and I would hold off on repotting until you see that the plant is growing strongly. The plant will probably put all its energy into replacing the leaves, so it shouldn't get more rootbound--at least for now.
Make sure you don't overwater--with so little foliage, the plant won't need nearly as much water as it did when it had lots of leaves.
Plants are great, aren't they?
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