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It may require a little bit more light if it is getting "leggy" on you. You can prune anytime indoors. Just cut where you want the new height to be. You can even root these cuttings relatively easily. Here is an article for more information on this: https://www.gardeningknowhow.com/houseplants/rubber-tree/propagation-rubber-tree-plant.htm

Given the temperatures and the fact that the soil and roots were frozen, your plant may not survive.

Keep it lightly watered and wait and see.
Rubber Tree plants are quite common and you can replace if it doesn't make it.

With freeze damaged trees, it is important to protect them from any further freezes and to avoid pruning until they start to grow again. If any more freezing weather is predicted in your area, you should move the tree indoors. If you do move it indoors, it will need little watering and no fertilizer until spring.

Many trees can survive freeze damage but may lose branches, so wait till spring to judge how much damage has been done. Then you can see which parts of the plant are beginning to grow back and which parts are dead, and you can prune accordingly. Also see these articles for more information:
https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm
https://www.gardeningknowhow.com/ornamental/trees/tgen/tree-scratch-test.htm

Freeze damage has been a common problem this year. Given how unpredictable Mother Nature is, delay pruning dead stems and branches until you are sure no more frost will occur. Then cut back until you reach live tissue; usually you can tell by the color in the center of cut stems. Look for a thin green ring just under the "skin". You may end up cutting to the ground. If you are lucky, the roots will still be alive and send up a new stem. Pruning now will stimulate new growth right when the plant is under severe stress. If another frost comes, it will kill the new growth and leave the roots exhausted.

It is possible. Just make sure that the roots fit into the transport pot. These are happy being rootbound, and don't mind being in a "just fit" container.

Here is an article for more information on the plant: https://www.gardeningknowhow.com/houseplants/rubber-tree/how-to-care-for-a-rubber-tree-plant.htm

There is not much that you can do in this situation. Leave the dead growth until the warm weather appears again. After you see new growth then you know it is alive, and you can cut the dead growth then.

This is unfortunate, but sometimes they do survive. Here is an article for more information on the tree:https://www.gardeningknowhow.com/houseplants/rubber-tree/rubber-plant-outdoors.htm