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I'm afraid it appears that the plant has decayed at the base and will not regrow from the lower portion still in the ground. This could be due to over-watering or the moss material in the pot retaining too much moisture.

The false flower sounds like it is dying off. This is normal. These will flower once, and then that portion will completely die off. It will be replaced by a pup, similar to a pineapple. These are very closely related.

This article will give you more information on the care of these: https://www.gardeningknowhow.com/houseplants/bromeliad/growing-bromeliad-plants.htm

When you first get one of these, they usually have the false flower that you see already on them. This plant will never bloom again, and will die after completing the bloom cycle.

The pups will flower, but it can take quite awhile. The trick will be perfect proper care. This article will guide you on the care of these: https://www.gardeningknowhow.com/houseplants/bromeliad/getting-bromeliads-to-bloom.htm

This link will help you.
https://forums.botanicalgarden.ubc.ca/threads/anyone-know-how-should-bromeliad-pups-be-separated.47940/

I wouldn't expect much from it. This is just a last ditch effort for survival. Something is off with the soil (Most are epiphytic and don't actually use soil for nutrients, they are just planted in soil because they can survive but is by no means the best medium to grow in for these) so it is not producing pups. This will usually occur before the mother starts to die back.

This article will give you an idea of the conditions needed to growth these properly: https://www.gardeningknowhow.com/houseplants/bromeliad/growing-bromeliad-plants.htm

It is listed as non toxic to cats and dogs.