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Yes, ginger root can be grown in pots. For a good harvest, choose a pot that is at least 12 inches deep and 12 inches across. Plant in good quality potting soil with lots of compost mixed in. You can plant a piece of ginger root directly in the pot and it will sprout.
These articles will help:
https://www.gardeningknowhow.com/edible/herbs/ginger/growing-ginger.htm
https://extension.psu.edu/plants/vegetable-fruit/news/2011/growing-edible-ginger-in-high-tunnels

Torch Ginger is not suitable for container growing, this is most likely the issue with your plants not blooming and the weak stems that your plants have.

Here are some articles with more information.

https://www.gardeningknowhow.com/ornamental/flowers/ornamental-ginger/growing-torch-ginger-lilies.htm

https://www.gardeningknowhow.com/ornamental/flowers/ornamental-ginger/butterfly-ginger-lilies.htm

These are definitely seeds! Here is more information on the care of this plant: https://www.gardeningknowhow.com/ornamental/flowers/ornamental-ginger/ornamental-ginger-plant-varieties.htm

Ginger roots grow horizontally, so the best containers to use are wide compared to their depth, but at least 5-6 inches deep. With that in mind, you can choose any size you wish, depending on how large you want the plant to get.

Typically, ginger won't bloom unless it remains above 80 degrees for two years in a row. They will not flower every year, even if you give it the proper conditions. They are low feeders, but it would be a good idea to fertilize them once a year with a granular, or slow release all purpose fertilizer. They also enjoy quite a bit of humidity, so spraying them everyday will help as well.

The alternative would be chemicals called cytokinins. This would force flowering, but I would advise extra special care when dealing with this, because most of them cause cancer at relatively low doses.

I would say that if you can provide the right climate for them then they will flower again... But if it doesn't remain above 80 for the entire year, then it may never bloom again.

Here is an article for more information on their care: https://www.gardeningknowhow.com/edible/herbs/ginger/growing-ginger-in-containers.htm

This is completely normal! They will produce one large rhizome with many smaller ones. You ca usually break these eyes off and plant them individually, or dry them as a whole root and use like you normally would. Here is an article for more information on ginger: https://www.gardeningknowhow.com/edible/herbs/ginger/growing-ginger.htm