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African violet leaves may curl downward if they are too cold, if they are watered with cold water, or if the plant is in excessively bright light. This article may help you:
https://garden.org/nga/searchqa/answer/14971/

It's difficult to say at this tiny stage. If your African Violet had flowers that produced seed and it dropped into the soil, it's possible you have sprouted a new plant.

https://www.gardeningknowhow.com/houseplants/african-violet/african-violet-seeds.htm

I would be afraid that this would be too much nutrients for them. You will want to fertilize with their specific food. It is also very important to note that these are always to be watered from the bottom of a self watering container. Any water you get on the leaves will usually cause infection. They do not need a whole lot of light, and an east facing window will be good. I would put them in a glass case if possible, to keep in the humidity... They tend to like a more humid environment. Unfortunately, it can be hard to predict flowering, as they can be unreliable. Some years they will bloom two or three times, and others may be two years in between blooms. It just depends on their environment.

This article will help you to care for these: https://www.gardeningknowhow.com/houseplants/african-violet/african-violet-care.htm

It does sound like the plant is just aging. You may be able to give it a few more years by repotting, very carefully, but unfortunately, they may have lived their lifespan. You did very well to make them live that long, so I don't think you need any help with that!

Unfortunately, though, I do think it will be time to start over soon.

These are best suited for indoor care. They really need a very specific environment to flourish. This article will help you on their care: https://www.gardeningknowhow.com/houseplants/african-violet/african-violet-care.htm

If the roots have rotted away then it will be too late to save it. I recommend only watering from a self watering container... This will do so from the bottom. If the future, you can use a few capfuls of peroxide in the water when you give it a drink. This will prevent any fungal infections from taking hold.

Here is an article for the care of these: https://www.gardeningknowhow.com/houseplants/african-violet/african-violet-care.htm